Details

Time bar (total: 28.4s)

analyze877.0ms (3.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
0%0%99.8%0.2%0%0%0%5
0%0%99.8%0.2%0%0%0%6
0%0%99.8%0.2%0%0%0%7
0%0%99.8%0.2%0%0%0%8
19.2%18.7%78.8%0.2%0%2.3%0%9
19.4%18.7%77.6%0.2%0%3.5%0%10
22.8%21.8%73.9%0.2%0%4.1%0%11
23.3%21.8%71.8%0.2%0%6.1%0%12
Compiler

Compiled 24 to 20 computations (16.7% saved)

sample5.0s (17.6%)

Results
3.4s8256×body256valid
1.6s7321×body256invalid
Bogosity

preprocess76.0ms (0.3%)

Algorithm
egg-herbie
Rules
1200×associate-/r/
1054×associate-*l/
908×associate-*r/
880×associate-/l/
762×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068399
1145371
2316371
3948371
43323371
57652371
044
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
2
3
Outputs
0
1
2
3
Call 2
Inputs
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 l t) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 t Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 Om l) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om t) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 Omc l) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 l Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t Om) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om l) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t Omc) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Omc Om) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
Outputs
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 l t) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) 2) 1))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 t Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 Om l) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 t Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 Om l) 2) 1))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om t) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 Omc l) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om t) 2)) (fma.f64 2 (pow.f64 (/.f64 Omc l) 2) 1))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 l Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t Om) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 l Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t Om) 2) 1))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om l) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t Omc) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om l) 2)) (fma.f64 2 (pow.f64 (/.f64 t Omc) 2) 1))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Omc Om) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Omc Om) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
Compiler

Compiled 27 to 23 computations (14.8% saved)

simplify57.0ms (0.2%)

Algorithm
egg-herbie
Rules
1584×fma-def
968×unswap-sqr
928×associate-/r/
812×associate-*r/
788×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01957
13553
26953
318353
458353
5237153
6553453
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
Outputs
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))

eval1.0ms (0%)

Compiler

Compiled 41 to 31 computations (24.4% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Accurracy
82.5%
Counts
3 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.5%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
Compiler

Compiled 23 to 19 computations (17.4% saved)

localize46.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.6%
(pow.f64 (/.f64 t l) 2)
99.5%
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))
99.3%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
83.9%
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))
Compiler

Compiled 103 to 62 computations (39.8% saved)

series42.0ms (0.1%)

Counts
4 → 168
Calls

42 calls:

TimeVariablePointExpression
12.0ms
l
@0
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))
2.0ms
Om
@inf
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))
2.0ms
t
@0
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))
2.0ms
t
@inf
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))
2.0ms
Omc
@inf
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))

rewrite232.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1206×prod-diff
724×expm1-udef
722×log1p-udef
422×add-sqr-sqrt
416×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019172
1417160
25561160
Stop Event
node limit
Counts
4 → 213
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))
(pow.f64 (/.f64 t l) 2)
Outputs
(((-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4) (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (pow.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 1/2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 1 (sqrt.f64 (/.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1) (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 1 (/.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (sqrt.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (sqrt.f64 (neg.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (neg.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/2) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 3/2) 1/3) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4) 2) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fabs.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 3/2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) (log1p.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) 1/2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))
(((+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3) 1/3) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))
(((+.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 1 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 Om Omc) 2) (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (/.f64 Om Omc) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (/.f64 Om Omc) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) 1) (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (/.f64 Om Omc) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)) (*.f64 2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8)))))) (fma.f64 (neg.f64 (-.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)) (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (*.f64 (-.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)) (*.f64 2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)))))) (fma.f64 (neg.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4))) (*.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 1 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 Om Omc) 2) (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (/.f64 Om Omc) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (/.f64 Om Omc) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) 1) (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (/.f64 Om Omc) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)) (*.f64 2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8)))))) (fma.f64 (neg.f64 (-.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)) (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (*.f64 (-.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)) (*.f64 2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)))))) (fma.f64 (neg.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4))) (*.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 1 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 Om Omc) 2) (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (/.f64 Om Omc) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (/.f64 Om Omc) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) 1) (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (/.f64 Om Omc) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)) (*.f64 2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8)))))) (fma.f64 (neg.f64 (-.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)) (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (*.f64 (-.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)) (*.f64 2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)))))) (fma.f64 (neg.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4))) (*.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (-.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)) (*.f64 2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 1 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (-.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)) (*.f64 2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 Om Omc) 2) (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (-.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)) (*.f64 2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (-.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)) (*.f64 2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (-.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)) (*.f64 2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (/.f64 Om Omc) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (-.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)) (*.f64 2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (-.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)) (*.f64 2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (-.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)) (*.f64 2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (/.f64 Om Omc) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) 1) (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (/.f64 Om Omc) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (-.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)) (*.f64 2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (-.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)) (*.f64 2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (-.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)) (*.f64 2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (-.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)) (*.f64 2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (-.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)) (*.f64 2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)) (*.f64 2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8)))))) (fma.f64 (neg.f64 (-.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)) (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (*.f64 (-.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)) (*.f64 2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (-.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)) (*.f64 2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)))))) (fma.f64 (neg.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4))) (*.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 1 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 Om Omc) 2) (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (/.f64 Om Omc) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (/.f64 Om Omc) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) 1) (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (/.f64 Om Omc) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)) (*.f64 2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8)))))) (fma.f64 (neg.f64 (-.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)) (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (*.f64 (-.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)) (*.f64 2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)))))) (fma.f64 (neg.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4))) (*.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 2) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4) (*.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (neg.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4)) (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (-.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)) (*.f64 2 (pow.f64 (/.f64 t l) 2)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (-.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 2) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 3) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2) 1/2) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 3) 1/3) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1) (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) -1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((neg.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (neg.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 3)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3) (pow.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1) 3))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) (log1p.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) (log1p.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) 1)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))
(((-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 t l) 2))) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (pow.f64 (/.f64 t l) 2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 t l) (/.f64 t l)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (/.f64 t l) 2) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (/.f64 t l)) 2) (cbrt.f64 (pow.f64 (/.f64 t l) 4))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (/.f64 t l)) 2) (*.f64 (cbrt.f64 (/.f64 t l)) (/.f64 t l))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (pow.f64 (/.f64 t l) 4)) (pow.f64 (cbrt.f64 (/.f64 t l)) 2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 t t) (*.f64 (pow.f64 l -1) (pow.f64 l -1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 t t) (pow.f64 (pow.f64 l -1) 2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (/.f64 t l)) (*.f64 (sqrt.f64 (/.f64 t l)) (/.f64 t l))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (/.f64 t l) (sqrt.f64 (/.f64 t l))) (sqrt.f64 (/.f64 t l))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (/.f64 t l) t) (pow.f64 l -1)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (/.f64 t l) (pow.f64 (cbrt.f64 (/.f64 t l)) 2)) (cbrt.f64 (/.f64 t l))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 t (*.f64 (/.f64 l t) l)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 t (*.f64 l (/.f64 l t))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (/.f64 t l) (/.f64 l t)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 t t) (*.f64 l l)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (neg.f64 t) (*.f64 (/.f64 l t) (neg.f64 l))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (neg.f64 t) (neg.f64 t)) (*.f64 (neg.f64 l) (neg.f64 l))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 t (neg.f64 t)) (*.f64 l (neg.f64 l))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (neg.f64 t) 1) (*.f64 (neg.f64 l) (/.f64 l t))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (neg.f64 t) t) (*.f64 (neg.f64 l) l)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (/.f64 t l) t) l) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (/.f64 t l) (neg.f64 t)) (neg.f64 l)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 t (/.f64 t l)) l) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (neg.f64 t) (/.f64 t l)) (neg.f64 l)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (pow.f64 (/.f64 t l) 4)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (pow.f64 (/.f64 t l) 2))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 t l) 2)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (pow.f64 (/.f64 t l) 2))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 2 (log.f64 (/.f64 t l)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 t l))) 1)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (pow.f64 (/.f64 t l) 2))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (pow.f64 (/.f64 t l) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))

simplify308.0ms (1.1%)

Algorithm
egg-herbie
Rules
804×associate-*r*
758×associate-*l*
700×*-commutative
642×fma-def
588×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
081545333
1221935433
Stop Event
node limit
Counts
381 → 424
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))))))
(+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6)))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)) (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)) (+.f64 (*.f64 1/16 (*.f64 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))))) (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))))))))
(*.f64 -1 (*.f64 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))) (*.f64 1/8 (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))))))
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(-.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1)
(*.f64 1 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 2))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 2) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(*.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4) (*.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(*.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (neg.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4)) (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(*.f64 (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (-.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)) (*.f64 2 (pow.f64 (/.f64 t l) 2))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (-.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))))
(pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1) (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) -1)
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (neg.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3) (pow.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) (log1p.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) (log1p.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 t l) 2))) 1)
(*.f64 1 (pow.f64 (/.f64 t l) 2))
(*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))
(*.f64 (/.f64 t l) (/.f64 t l))
(*.f64 (pow.f64 (/.f64 t l) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 t l)) 2) (cbrt.f64 (pow.f64 (/.f64 t l) 4)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 t l)) 2) (*.f64 (cbrt.f64 (/.f64 t l)) (/.f64 t l)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 t l) 4)) (pow.f64 (cbrt.f64 (/.f64 t l)) 2))
(*.f64 (*.f64 t t) (*.f64 (pow.f64 l -1) (pow.f64 l -1)))
(*.f64 (*.f64 t t) (pow.f64 (pow.f64 l -1) 2))
(*.f64 (sqrt.f64 (/.f64 t l)) (*.f64 (sqrt.f64 (/.f64 t l)) (/.f64 t l)))
(*.f64 (*.f64 (/.f64 t l) (sqrt.f64 (/.f64 t l))) (sqrt.f64 (/.f64 t l)))
(*.f64 (*.f64 (/.f64 t l) t) (pow.f64 l -1))
(*.f64 (*.f64 (/.f64 t l) (pow.f64 (cbrt.f64 (/.f64 t l)) 2)) (cbrt.f64 (/.f64 t l)))
(/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))
(/.f64 t (*.f64 (/.f64 l t) l))
(/.f64 t (*.f64 l (/.f64 l t)))
(/.f64 (/.f64 t l) (/.f64 l t))
(/.f64 (*.f64 t t) (*.f64 l l))
(/.f64 (neg.f64 t) (*.f64 (/.f64 l t) (neg.f64 l)))
(/.f64 (*.f64 (neg.f64 t) (neg.f64 t)) (*.f64 (neg.f64 l) (neg.f64 l)))
(/.f64 (*.f64 t (neg.f64 t)) (*.f64 l (neg.f64 l)))
(/.f64 (*.f64 (neg.f64 t) 1) (*.f64 (neg.f64 l) (/.f64 l t)))
(/.f64 (*.f64 (neg.f64 t) t) (*.f64 (neg.f64 l) l))
(/.f64 (*.f64 (/.f64 t l) t) l)
(/.f64 (*.f64 (/.f64 t l) (neg.f64 t)) (neg.f64 l))
(/.f64 (*.f64 t (/.f64 t l)) l)
(/.f64 (*.f64 (neg.f64 t) (/.f64 t l)) (neg.f64 l))
(sqrt.f64 (pow.f64 (/.f64 t l) 4))
(log.f64 (exp.f64 (pow.f64 (/.f64 t l) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 t l) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 t l) 2)))
(exp.f64 (*.f64 2 (log.f64 (/.f64 t l))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 t l))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 t l) 2)))
Outputs
(sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))
(sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(+.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 Om Omc) 2)) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))))))
(+.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)))))
(+.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 Om Omc) 2)) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (pow.f64 (/.f64 Om Omc) 4) -1/8))))
(+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6)))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)))))))
(fma.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6))) (+.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))))))
(+.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 Om Omc) 2)) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (pow.f64 (/.f64 Om Omc) 4) -1/8))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) -1/16) (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6)) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (sqrt.f64 -1) (/.f64 Omc Om)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 Omc (*.f64 Om (sqrt.f64 -1)))) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (sqrt.f64 -1) (/.f64 Omc Om))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (sqrt.f64 -1) (/.f64 Omc Om)) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (/.f64 (/.f64 Omc Om) (sqrt.f64 -1)) 1/2)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)) (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 Omc (*.f64 Om (sqrt.f64 -1)))) (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (sqrt.f64 -1) (/.f64 Omc Om)) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Omc Om) (sqrt.f64 -1))) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (+.f64 (/.f64 (sqrt.f64 -1) (/.f64 Omc Om)) (*.f64 -1/8 (/.f64 (/.f64 (/.f64 (pow.f64 Omc 3) -1) (sqrt.f64 -1)) (pow.f64 Om 3))))))
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(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))
(*.f64 (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))
(*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 t (sqrt.f64 2)) l))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (hypot.f64 1 (/.f64 (*.f64 t (sqrt.f64 2)) l))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (hypot.f64 1 (/.f64 t (/.f64 l (sqrt.f64 2))))) (hypot.f64 1 (/.f64 t (/.f64 l (sqrt.f64 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))
(*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 t (sqrt.f64 2)) l))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (hypot.f64 1 (/.f64 (*.f64 t (sqrt.f64 2)) l))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (hypot.f64 1 (/.f64 t (/.f64 l (sqrt.f64 2))))) (hypot.f64 1 (/.f64 t (/.f64 l (sqrt.f64 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 4))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (-.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4)) (*.f64 2 (pow.f64 (/.f64 t l) 2))))
(*.f64 (+.f64 1 (-.f64 (*.f64 4 (pow.f64 (/.f64 t l) 4)) (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 8 (pow.f64 (pow.f64 (/.f64 t l) 2) 3)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 (*.f64 4 (pow.f64 (/.f64 t l) 4)) (fma.f64 -2 (pow.f64 (/.f64 t l) 2) 1))) (fma.f64 8 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 1))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (-.f64 1 (*.f64 (pow.f64 (/.f64 t l) 4) 4))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (-.f64 1 (*.f64 4 (pow.f64 (/.f64 t l) 4))))
(*.f64 (fma.f64 -2 (pow.f64 (/.f64 t l) 2) 1) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 -4 (pow.f64 (/.f64 t l) 4)))))
(pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1)
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 2)
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 3)
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2) 1/2)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))
(fabs.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 3) 1/3)
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(pow.f64 (/.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1) (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) -1)
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (neg.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))
(fabs.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 3))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3) (pow.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1) 3)))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) (log1p.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) (log1p.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) 1))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) (log1p.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 t l) 2))) 1)
(pow.f64 (/.f64 t l) 2)
(*.f64 1 (pow.f64 (/.f64 t l) 2))
(pow.f64 (/.f64 t l) 2)
(*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))
(pow.f64 (/.f64 t l) 2)
(*.f64 (/.f64 t l) (/.f64 t l))
(pow.f64 (/.f64 t l) 2)
(*.f64 (pow.f64 (/.f64 t l) 2) 1)
(pow.f64 (/.f64 t l) 2)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 t l)) 2) (cbrt.f64 (pow.f64 (/.f64 t l) 4)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 t l)) 2) (*.f64 (cbrt.f64 (/.f64 t l)) (/.f64 t l)))
(pow.f64 (/.f64 t l) 2)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 t l) 4)) (pow.f64 (cbrt.f64 (/.f64 t l)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 t l)) 2) (cbrt.f64 (pow.f64 (/.f64 t l) 4)))
(*.f64 (*.f64 t t) (*.f64 (pow.f64 l -1) (pow.f64 l -1)))
(pow.f64 (/.f64 t l) 2)
(*.f64 (*.f64 t t) (pow.f64 (pow.f64 l -1) 2))
(pow.f64 (/.f64 t l) 2)
(*.f64 (sqrt.f64 (/.f64 t l)) (*.f64 (sqrt.f64 (/.f64 t l)) (/.f64 t l)))
(pow.f64 (/.f64 t l) 2)
(*.f64 (*.f64 (/.f64 t l) (sqrt.f64 (/.f64 t l))) (sqrt.f64 (/.f64 t l)))
(pow.f64 (/.f64 t l) 2)
(*.f64 (*.f64 (/.f64 t l) t) (pow.f64 l -1))
(pow.f64 (/.f64 t l) 2)
(*.f64 (*.f64 (/.f64 t l) (pow.f64 (cbrt.f64 (/.f64 t l)) 2)) (cbrt.f64 (/.f64 t l)))
(pow.f64 (/.f64 t l) 2)
(/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))
(pow.f64 (/.f64 t l) 2)
(/.f64 t (*.f64 (/.f64 l t) l))
(pow.f64 (/.f64 t l) 2)
(/.f64 t (*.f64 l (/.f64 l t)))
(pow.f64 (/.f64 t l) 2)
(/.f64 (/.f64 t l) (/.f64 l t))
(pow.f64 (/.f64 t l) 2)
(/.f64 (*.f64 t t) (*.f64 l l))
(pow.f64 (/.f64 t l) 2)
(/.f64 (neg.f64 t) (*.f64 (/.f64 l t) (neg.f64 l)))
(pow.f64 (/.f64 t l) 2)
(/.f64 (*.f64 (neg.f64 t) (neg.f64 t)) (*.f64 (neg.f64 l) (neg.f64 l)))
(pow.f64 (/.f64 t l) 2)
(/.f64 (*.f64 t (neg.f64 t)) (*.f64 l (neg.f64 l)))
(pow.f64 (/.f64 t l) 2)
(/.f64 (*.f64 (neg.f64 t) 1) (*.f64 (neg.f64 l) (/.f64 l t)))
(pow.f64 (/.f64 t l) 2)
(/.f64 (*.f64 (neg.f64 t) t) (*.f64 (neg.f64 l) l))
(pow.f64 (/.f64 t l) 2)
(/.f64 (*.f64 (/.f64 t l) t) l)
(pow.f64 (/.f64 t l) 2)
(/.f64 (*.f64 (/.f64 t l) (neg.f64 t)) (neg.f64 l))
(pow.f64 (/.f64 t l) 2)
(/.f64 (*.f64 t (/.f64 t l)) l)
(pow.f64 (/.f64 t l) 2)
(/.f64 (*.f64 (neg.f64 t) (/.f64 t l)) (neg.f64 l))
(pow.f64 (/.f64 t l) 2)
(sqrt.f64 (pow.f64 (/.f64 t l) 4))
(log.f64 (exp.f64 (pow.f64 (/.f64 t l) 2)))
(pow.f64 (/.f64 t l) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 t l) 2))))
(pow.f64 (/.f64 t l) 2)
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3))
(pow.f64 (/.f64 t l) 2)
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 t l) 2)))
(pow.f64 (/.f64 t l) 2)
(exp.f64 (*.f64 2 (log.f64 (/.f64 t l))))
(pow.f64 (/.f64 t l) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 t l))) 1))
(pow.f64 (/.f64 t l) 2)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 t l) 2)))
(pow.f64 (/.f64 t l) 2)

eval480.0ms (1.7%)

Compiler

Compiled 26432 to 18064 computations (31.7% saved)

prune123.0ms (0.4%)

Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New40123424
Fresh000
Picked101
Done000
Total40223425
Accurracy
99.2%
Counts
425 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.6%
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2)
80.7%
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)
64.1%
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) 1)
48.9%
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1)))
49.7%
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1)))
82.5%
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
82.4%
(asin.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4) 2))
98.6%
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))
27.7%
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
31.9%
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 (sqrt.f64 1/2) (/.f64 t l))))
32.8%
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (neg.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l)))))
27.6%
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l))))
29.8%
(asin.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))))
81.0%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (*.f64 (/.f64 t l) t) l))))))
79.5%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))))
82.5%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))))
78.4%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))))
50.4%
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
43.0%
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
21.0%
(asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (*.f64 l l) (/.f64 (*.f64 t t) (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))))
69.6%
(asin.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 3))))
29.6%
(asin.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))))
81.1%
(asin.f64 (exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) (log1p.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) 1/2)))
Compiler

Compiled 1284 to 1016 computations (20.9% saved)

localize42.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.7%
(pow.f64 (/.f64 Om Omc) 2)
99.5%
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))
99.4%
(*.f64 (/.f64 t l) (sqrt.f64 2))
99.3%
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))
Compiler

Compiled 87 to 52 computations (40.2% saved)

series21.0ms (0.1%)

Counts
4 → 144
Calls

36 calls:

TimeVariablePointExpression
3.0ms
Om
@0
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))
2.0ms
t
@inf
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))
2.0ms
Om
@inf
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))
1.0ms
t
@inf
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))
1.0ms
t
@0
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))

rewrite156.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1944×log-prod
708×expm1-udef
706×log1p-udef
574×prod-diff
410×add-sqr-sqrt
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
019136
1406136
25184132
Stop Event
node limit
Counts
4 → 145
Calls
Call 1
Inputs
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))
(*.f64 (/.f64 t l) (sqrt.f64 2))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))
(pow.f64 (/.f64 Om Omc) 2)
Outputs
(((+.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 0 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))))) (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) 1) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3)) (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (fma.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3) 1/3) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((neg.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (neg.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 2)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))
(((+.f64 0 (*.f64 (/.f64 t l) (sqrt.f64 2))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (/.f64 t l))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (/.f64 t l))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (/.f64 t l))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (/.f64 t l)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (/.f64 t l))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 t l) (sqrt.f64 2)))) 1) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 1 (/.f64 l (*.f64 t (sqrt.f64 2)))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 t (/.f64 l (sqrt.f64 2))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (sqrt.f64 2) (/.f64 l t)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 t (sqrt.f64 2)) l) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (neg.f64 (*.f64 t (sqrt.f64 2))) (neg.f64 l)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (sqrt.f64 2) (neg.f64 t)) (neg.f64 l)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (neg.f64 t) (sqrt.f64 2)) (neg.f64 l)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (/.f64 (*.f64 t (sqrt.f64 2)) 1) l) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (/.f64 (*.f64 t (sqrt.f64 2)) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (/.f64 (*.f64 t (sqrt.f64 2)) (sqrt.f64 l)) (sqrt.f64 l)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (*.f64 (/.f64 t l) (sqrt.f64 2)) 1) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (*.f64 (/.f64 t l) (sqrt.f64 2))) 3) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (*.f64 (/.f64 t l) (sqrt.f64 2)) 3) 1/3) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (sqrt.f64 (*.f64 (/.f64 t l) (sqrt.f64 2))) 2) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (/.f64 t l))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 t l) (sqrt.f64 2))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (*.f64 (/.f64 t l) (sqrt.f64 2)) 3)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (*.f64 (pow.f64 (/.f64 t l) 3) (*.f64 2 (sqrt.f64 2)))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (/.f64 t l) 3))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (*.f64 (/.f64 t l) (sqrt.f64 2)))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (*.f64 (/.f64 t l) (sqrt.f64 2)))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 t l) (sqrt.f64 2))) 1)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (*.f64 (/.f64 t l) (sqrt.f64 2)))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))
(((+.f64 0 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 1) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) (*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (/.f64 1 (neg.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (sqrt.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (sqrt.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (sqrt.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) (cbrt.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 1) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 3) 1/3) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 2) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1) (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) -1) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (neg.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 3)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3/2) (pow.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))) 3))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))
(((+.f64 0 (pow.f64 (/.f64 Om Omc) 2)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (+.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (pow.f64 (/.f64 Om Omc) 2)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 Om (*.f64 (pow.f64 Omc -1) (/.f64 Om Omc))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (/.f64 Om Omc) 2) 1) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (*.f64 (cbrt.f64 (/.f64 Om Omc)) (/.f64 Om Omc))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 Om Om) (*.f64 (pow.f64 Omc -1) (pow.f64 Omc -1))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 Om Om) (pow.f64 (pow.f64 Omc -1) 2)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (/.f64 Om Omc)) (*.f64 (sqrt.f64 (/.f64 Om Omc)) (/.f64 Om Omc))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (/.f64 Om Omc) (sqrt.f64 (/.f64 Om Omc))) (sqrt.f64 (/.f64 Om Omc))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (/.f64 Om Omc) Om) (pow.f64 Omc -1)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2)) (cbrt.f64 (/.f64 Om Omc))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 1 (*.f64 (/.f64 Omc Om) (/.f64 Omc Om))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 Om (*.f64 (/.f64 Omc Om) Omc)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 Om (*.f64 Omc (/.f64 Omc Om))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (/.f64 Om Omc) (/.f64 Omc Om)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (neg.f64 Om) (*.f64 (/.f64 Omc Om) (neg.f64 Omc))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (neg.f64 Om) (neg.f64 Om)) (*.f64 (neg.f64 Omc) (neg.f64 Omc))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 Om (neg.f64 Om)) (*.f64 Omc (neg.f64 Omc))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (neg.f64 Om) 1) (*.f64 (neg.f64 Omc) (/.f64 Omc Om))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 (neg.f64 Omc) Omc)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (/.f64 Om Omc) Om) Omc) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (/.f64 Om Omc) (neg.f64 Om)) (neg.f64 Omc)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 Om (/.f64 Om Omc)) Omc) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (neg.f64 Om) (/.f64 Om Omc)) (neg.f64 Omc)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (pow.f64 (/.f64 Om Omc) 4)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (/.f64 Om Omc) 6)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (pow.f64 (/.f64 Om Omc) 2))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 2 (log.f64 (/.f64 Om Omc)))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 Om Omc))) 1)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (pow.f64 (/.f64 Om Omc) 2))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 1 (+.f64 1 (pow.f64 (/.f64 Om Omc) 2)) -1) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 Om Omc) 2))) -1) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (hypot.f64 1 (/.f64 Om Omc)) (hypot.f64 1 (/.f64 Om Omc)) -1) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (*.f64 (/.f64 t l) (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (pow.f64 (/.f64 Om Omc) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))

simplify205.0ms (0.7%)

Algorithm
egg-herbie
Rules
596×associate-*r*
586×associate-*l*
548×fma-def
478×*-commutative
418×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055422135
1143418591
2547614825
Stop Event
node limit
Counts
289 → 283
Calls
Call 1
Inputs
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(/.f64 (*.f64 (sqrt.f64 2) t) l)
(/.f64 (*.f64 (sqrt.f64 2) t) l)
(/.f64 (*.f64 (sqrt.f64 2) t) l)
(/.f64 (*.f64 (sqrt.f64 2) t) l)
(/.f64 (*.f64 (sqrt.f64 2) t) l)
(/.f64 (*.f64 (sqrt.f64 2) t) l)
(/.f64 (*.f64 (sqrt.f64 2) t) l)
(/.f64 (*.f64 (sqrt.f64 2) t) l)
(/.f64 (*.f64 (sqrt.f64 2) t) l)
(/.f64 (*.f64 (sqrt.f64 2) t) l)
(/.f64 (*.f64 (sqrt.f64 2) t) l)
(/.f64 (*.f64 (sqrt.f64 2) t) l)
(/.f64 (*.f64 (sqrt.f64 2) t) l)
(/.f64 (*.f64 (sqrt.f64 2) t) l)
(/.f64 (*.f64 (sqrt.f64 2) t) l)
(/.f64 (*.f64 (sqrt.f64 2) t) l)
(/.f64 (*.f64 (sqrt.f64 2) t) l)
(/.f64 (*.f64 (sqrt.f64 2) t) l)
(/.f64 (*.f64 (sqrt.f64 2) t) l)
(/.f64 (*.f64 (sqrt.f64 2) t) l)
(/.f64 (*.f64 (sqrt.f64 2) t) l)
(/.f64 (*.f64 (sqrt.f64 2) t) l)
(/.f64 (*.f64 (sqrt.f64 2) t) l)
(/.f64 (*.f64 (sqrt.f64 2) t) l)
(sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 t 2)) (pow.f64 l 2)))))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 t 2)) (pow.f64 l 2))))) (*.f64 -1/2 (*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 t 2)) (pow.f64 l 2))))))))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 t 2)) (pow.f64 l 2))))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 t 2)) (pow.f64 l 2))))))) (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 t 2)) (pow.f64 l 2)))))))))
(+.f64 (*.f64 -1/16 (*.f64 (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6)) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 t 2)) (pow.f64 l 2))))))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 t 2)) (pow.f64 l 2))))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 t 2)) (pow.f64 l 2))))))) (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 t 2)) (pow.f64 l 2))))))))))
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(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3)) (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (fma.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1)
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2)
(neg.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (neg.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))))
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 2))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(+.f64 0 (*.f64 (/.f64 t l) (sqrt.f64 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (/.f64 t l))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (/.f64 t l))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (/.f64 t l)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (/.f64 t l)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (/.f64 t l)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 t l) (sqrt.f64 2)))) 1)
(/.f64 1 (/.f64 l (*.f64 t (sqrt.f64 2))))
(/.f64 t (/.f64 l (sqrt.f64 2)))
(/.f64 (sqrt.f64 2) (/.f64 l t))
(/.f64 (*.f64 t (sqrt.f64 2)) l)
(/.f64 (neg.f64 (*.f64 t (sqrt.f64 2))) (neg.f64 l))
(/.f64 (*.f64 (sqrt.f64 2) (neg.f64 t)) (neg.f64 l))
(/.f64 (*.f64 (neg.f64 t) (sqrt.f64 2)) (neg.f64 l))
(/.f64 (/.f64 (*.f64 t (sqrt.f64 2)) 1) l)
(/.f64 (/.f64 (*.f64 t (sqrt.f64 2)) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
(/.f64 (/.f64 (*.f64 t (sqrt.f64 2)) (sqrt.f64 l)) (sqrt.f64 l))
(pow.f64 (*.f64 (/.f64 t l) (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 t l) (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 t l) (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 t l) (sqrt.f64 2))) 2)
(sqrt.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (/.f64 t l)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 t l) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 t l) (sqrt.f64 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 t l) 3) (*.f64 2 (sqrt.f64 2))))
(cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (/.f64 t l) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 t l) (sqrt.f64 2))))
(exp.f64 (log.f64 (*.f64 (/.f64 t l) (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 t l) (sqrt.f64 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 t l) (sqrt.f64 2))))
(+.f64 0 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) (*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (/.f64 1 (neg.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))
(*.f64 (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))
(*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (sqrt.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (sqrt.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (sqrt.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) (cbrt.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 2)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1) (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) -1)
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (neg.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3/2) (pow.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))) 3)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(+.f64 0 (pow.f64 (/.f64 Om Omc) 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)))))
(-.f64 (+.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1)
(*.f64 1 (pow.f64 (/.f64 Om Omc) 2))
(*.f64 Om (*.f64 (pow.f64 Omc -1) (/.f64 Om Omc)))
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
(*.f64 (pow.f64 (/.f64 Om Omc) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (*.f64 (cbrt.f64 (/.f64 Om Omc)) (/.f64 Om Omc)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2))
(*.f64 (*.f64 Om Om) (*.f64 (pow.f64 Omc -1) (pow.f64 Omc -1)))
(*.f64 (*.f64 Om Om) (pow.f64 (pow.f64 Omc -1) 2))
(*.f64 (sqrt.f64 (/.f64 Om Omc)) (*.f64 (sqrt.f64 (/.f64 Om Omc)) (/.f64 Om Omc)))
(*.f64 (*.f64 (/.f64 Om Omc) (sqrt.f64 (/.f64 Om Omc))) (sqrt.f64 (/.f64 Om Omc)))
(*.f64 (*.f64 (/.f64 Om Omc) Om) (pow.f64 Omc -1))
(*.f64 (*.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2)) (cbrt.f64 (/.f64 Om Omc)))
(/.f64 1 (*.f64 (/.f64 Omc Om) (/.f64 Omc Om)))
(/.f64 Om (*.f64 (/.f64 Omc Om) Omc))
(/.f64 Om (*.f64 Omc (/.f64 Omc Om)))
(/.f64 (/.f64 Om Omc) (/.f64 Omc Om))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(/.f64 (neg.f64 Om) (*.f64 (/.f64 Omc Om) (neg.f64 Omc)))
(/.f64 (*.f64 (neg.f64 Om) (neg.f64 Om)) (*.f64 (neg.f64 Omc) (neg.f64 Omc)))
(/.f64 (*.f64 Om (neg.f64 Om)) (*.f64 Omc (neg.f64 Omc)))
(/.f64 (*.f64 (neg.f64 Om) 1) (*.f64 (neg.f64 Omc) (/.f64 Omc Om)))
(/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 (neg.f64 Omc) Omc))
(/.f64 (*.f64 (/.f64 Om Omc) Om) Omc)
(/.f64 (*.f64 (/.f64 Om Omc) (neg.f64 Om)) (neg.f64 Omc))
(/.f64 (*.f64 Om (/.f64 Om Omc)) Omc)
(/.f64 (*.f64 (neg.f64 Om) (/.f64 Om Omc)) (neg.f64 Omc))
(sqrt.f64 (pow.f64 (/.f64 Om Omc) 4))
(log.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 Om Omc) 2))))
(cbrt.f64 (pow.f64 (/.f64 Om Omc) 6))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 Om Omc) 2)))
(exp.f64 (*.f64 2 (log.f64 (/.f64 Om Omc))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 Om Omc))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 Om Omc) 2)))
(fma.f64 1 (+.f64 1 (pow.f64 (/.f64 Om Omc) 2)) -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 Om Omc) 2))) -1)
(fma.f64 (hypot.f64 1 (/.f64 Om Omc)) (hypot.f64 1 (/.f64 Om Omc)) -1)
Outputs
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (hypot.f64 1 (/.f64 t (/.f64 l (sqrt.f64 2)))))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
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(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (sqrt.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (sqrt.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (sqrt.f64 (hypot.f64 1 (/.f64 t (/.f64 l (sqrt.f64 2)))))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (sqrt.f64 (hypot.f64 1 (/.f64 t (/.f64 l (sqrt.f64 2)))))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (sqrt.f64 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (sqrt.f64 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (hypot.f64 1 (/.f64 t (/.f64 l (sqrt.f64 2))))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) (cbrt.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (hypot.f64 1 (/.f64 t (/.f64 l (sqrt.f64 2)))))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 1)
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3)
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 3) 1/3)
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 2)
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1) (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) -1)
(/.f64 1 (sqrt.f64 (/.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1) (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (neg.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (hypot.f64 1 (/.f64 t (/.f64 l (sqrt.f64 2))))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 3))
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3/2) (pow.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3/2) (pow.f64 (hypot.f64 1 (/.f64 t (/.f64 l (sqrt.f64 2)))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3/2) (pow.f64 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))) 3)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(+.f64 0 (pow.f64 (/.f64 Om Omc) 2))
(pow.f64 (/.f64 Om Omc) 2)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)))))
(-.f64 (+.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1)
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 1 (pow.f64 (/.f64 Om Omc) 2))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 Om (*.f64 (pow.f64 Omc -1) (/.f64 Om Omc)))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (pow.f64 (/.f64 Om Omc) 2) 1)
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (*.f64 (cbrt.f64 (/.f64 Om Omc)) (/.f64 Om Omc)))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)))
(*.f64 (*.f64 Om Om) (*.f64 (pow.f64 Omc -1) (pow.f64 Omc -1)))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (*.f64 Om Om) (pow.f64 (pow.f64 Omc -1) 2))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (sqrt.f64 (/.f64 Om Omc)) (*.f64 (sqrt.f64 (/.f64 Om Omc)) (/.f64 Om Omc)))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (*.f64 (/.f64 Om Omc) (sqrt.f64 (/.f64 Om Omc))) (sqrt.f64 (/.f64 Om Omc)))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (*.f64 (/.f64 Om Omc) Om) (pow.f64 Omc -1))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (*.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2)) (cbrt.f64 (/.f64 Om Omc)))
(pow.f64 (/.f64 Om Omc) 2)
(/.f64 1 (*.f64 (/.f64 Omc Om) (/.f64 Omc Om)))
(pow.f64 (/.f64 Om Omc) 2)
(/.f64 Om (*.f64 (/.f64 Omc Om) Omc))
(pow.f64 (/.f64 Om Omc) 2)
(/.f64 Om (*.f64 Omc (/.f64 Omc Om)))
(pow.f64 (/.f64 Om Omc) 2)
(/.f64 (/.f64 Om Omc) (/.f64 Omc Om))
(pow.f64 (/.f64 Om Omc) 2)
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(/.f64 (neg.f64 Om) (*.f64 (/.f64 Omc Om) (neg.f64 Omc)))
(pow.f64 (/.f64 Om Omc) 2)
(/.f64 (*.f64 (neg.f64 Om) (neg.f64 Om)) (*.f64 (neg.f64 Omc) (neg.f64 Omc)))
(pow.f64 (/.f64 Om Omc) 2)
(/.f64 (*.f64 Om (neg.f64 Om)) (*.f64 Omc (neg.f64 Omc)))
(pow.f64 (/.f64 Om Omc) 2)
(/.f64 (*.f64 (neg.f64 Om) 1) (*.f64 (neg.f64 Omc) (/.f64 Omc Om)))
(pow.f64 (/.f64 Om Omc) 2)
(/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 (neg.f64 Omc) Omc))
(pow.f64 (/.f64 Om Omc) 2)
(/.f64 (*.f64 (/.f64 Om Omc) Om) Omc)
(pow.f64 (/.f64 Om Omc) 2)
(/.f64 (*.f64 (/.f64 Om Omc) (neg.f64 Om)) (neg.f64 Omc))
(pow.f64 (/.f64 Om Omc) 2)
(/.f64 (*.f64 Om (/.f64 Om Omc)) Omc)
(pow.f64 (/.f64 Om Omc) 2)
(/.f64 (*.f64 (neg.f64 Om) (/.f64 Om Omc)) (neg.f64 Omc))
(pow.f64 (/.f64 Om Omc) 2)
(sqrt.f64 (pow.f64 (/.f64 Om Omc) 4))
(pow.f64 (/.f64 Om Omc) 2)
(log.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)))
(pow.f64 (/.f64 Om Omc) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 Om Omc) 2))))
(pow.f64 (/.f64 Om Omc) 2)
(cbrt.f64 (pow.f64 (/.f64 Om Omc) 6))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 Om Omc) 2)))
(pow.f64 (/.f64 Om Omc) 2)
(exp.f64 (*.f64 2 (log.f64 (/.f64 Om Omc))))
(pow.f64 (/.f64 Om Omc) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 Om Omc))) 1))
(pow.f64 (/.f64 Om Omc) 2)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 Om Omc) 2)))
(pow.f64 (/.f64 Om Omc) 2)
(fma.f64 1 (+.f64 1 (pow.f64 (/.f64 Om Omc) 2)) -1)
(pow.f64 (/.f64 Om Omc) 2)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 Om Omc) 2))) -1)
(pow.f64 (/.f64 Om Omc) 2)
(fma.f64 (hypot.f64 1 (/.f64 Om Omc)) (hypot.f64 1 (/.f64 Om Omc)) -1)

localize16.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
100.0%
(sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))
99.4%
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
76.7%
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
Compiler

Compiled 50 to 17 computations (66% saved)

series4.0ms (0%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
Om
@0
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
1.0ms
Omc
@0
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
1.0ms
Om
@inf
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
0.0ms
Om
@inf
(sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))
0.0ms
Om
@-inf
(sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))

rewrite124.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1200×log-prod
906×prod-diff
712×pow-prod-down
608×pow-prod-up
598×pow-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01281
125563
2337263
Stop Event
node limit
Counts
3 → 127
Calls
Call 1
Inputs
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))
Outputs
(((+.f64 0 (pow.f64 (/.f64 Om Omc) 2)) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2))))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2))))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (+.f64 (pow.f64 (/.f64 Om Omc) 2) 1) 1) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 Om (/.f64 1 (/.f64 Omc (/.f64 Om Omc)))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 Om (*.f64 Om (pow.f64 Omc -2))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 Om Om) (pow.f64 Omc -2)) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (/.f64 Om Omc) 2) 1) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (pow.f64 (/.f64 Om Omc) 2)) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 2)) (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (cbrt.f64 (pow.f64 (/.f64 Om Omc) 2))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (cbrt.f64 Om) Om) (*.f64 (cbrt.f64 (*.f64 Om Om)) (pow.f64 Omc -2))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 Om (neg.f64 Om)) (/.f64 1 (*.f64 Omc (neg.f64 Omc)))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 Omc -2) (*.f64 Om Om)) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 Om (/.f64 Omc Om)) (/.f64 1 Omc)) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 Om 1) (/.f64 Om (*.f64 Omc Omc))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (*.f64 (cbrt.f64 Om) Om) 1) (/.f64 (cbrt.f64 (*.f64 Om Om)) (*.f64 Omc Omc))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 Om (*.f64 Omc Omc)) Om) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 Om (*.f64 (cbrt.f64 Omc) Omc)) (/.f64 Om (pow.f64 (cbrt.f64 Omc) 2))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 1 Omc) (/.f64 Om (/.f64 Omc Om))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 1 (*.f64 (cbrt.f64 Omc) Omc)) (/.f64 (*.f64 Om Om) (pow.f64 (cbrt.f64 Omc) 2))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (*.f64 (cbrt.f64 Om) Om) Omc) (/.f64 (cbrt.f64 (*.f64 Om Om)) Omc)) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (*.f64 (cbrt.f64 Om) Om) (*.f64 (cbrt.f64 Omc) Omc)) (cbrt.f64 (pow.f64 (/.f64 Om Omc) 2))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (/.f64 Om Omc) 2) 1) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 2)) 3) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (/.f64 Om Omc) 4) 1/2) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (/.f64 Om Omc) 6) 1/3) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 Om Omc) 2) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (*.f64 (/.f64 Omc Om) (/.f64 Omc Om)) -1) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 (*.f64 (/.f64 Omc Om) (/.f64 Omc Om)) 1) -1) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((neg.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc (neg.f64 Omc)))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (pow.f64 (/.f64 Om Omc) 4)) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (/.f64 Om Omc) 6)) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (pow.f64 (/.f64 Om Omc) 2))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 2 (log.f64 (/.f64 Om Omc)))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 Om Omc))) 1)) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 Om Omc))) 1) 1)) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 2))) 3)) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 Om Omc) 6)) 1/3)) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 Om Omc))) 3) 1/3)) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (/.f64 Om Omc)) 2)) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (neg.f64 (*.f64 2 (log.f64 (/.f64 Om Omc)))) -1)) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (pow.f64 (/.f64 Om Omc) 2))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 1 (+.f64 (pow.f64 (/.f64 Om Omc) 2) 1) -1) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 Om Omc) 2) 1)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 Om Omc) 2) 1))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 Om Omc) 2) 1)) -1) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (hypot.f64 1 (/.f64 Om Omc)) (hypot.f64 1 (/.f64 Om Omc)) -1) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))
(((+.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (sqrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 0 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 1 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 1 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 1 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 1 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))) (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 2)) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 3) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 2) 1/2) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 3) 1/3) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 2) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 2)) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 3)) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 1)) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 1) 1)) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 3)) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 3)) 1/3)) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 2)) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))
(((+.f64 0 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 1) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 1) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4)) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 1/2)) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 4))) (hypot.f64 1 (/.f64 Om Omc))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 6))) (hypot.f64 1 (hypot.f64 (pow.f64 (/.f64 Om Omc) 2) (/.f64 Om Omc)))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 1) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 3) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3/2) 1/3) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 2) 1/4) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) 2) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3/2)) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((hypot.f64 1 (sqrt.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) 1/2)) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2)))) 1)) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) 1) 1/2)) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) 1/2) 1)) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2)))) 1) 1)) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 3)) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2)))) 1/3)) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2)))) 2)) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) #(struct:egraph-query ((/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))

simplify110.0ms (0.4%)

Algorithm
egg-herbie
Rules
1972×fma-def
892×associate-*r/
692×associate-*l/
648×unswap-sqr
394×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03806815
18955907
228005757
Stop Event
node limit
Counts
199 → 205
Calls
Call 1
Inputs
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)))))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))) (*.f64 -1/16 (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6))))))
(/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)
(+.f64 (*.f64 1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))
(+.f64 (*.f64 1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)))
(+.f64 (*.f64 1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5)))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))))
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))
(+.f64 (*.f64 -1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)))
(+.f64 (*.f64 -1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))))
(+.f64 (*.f64 -1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5)))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)))))
(/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)
(+.f64 (*.f64 1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))
(+.f64 (*.f64 1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)))
(+.f64 (*.f64 1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5)))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)))))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))) (*.f64 -1/16 (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6))))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)))))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))) (*.f64 -1/16 (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6))))))
(+.f64 0 (pow.f64 (/.f64 Om Omc) 2))
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(exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2)))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
Outputs
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))
(+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))
(fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)))))
(+.f64 1 (fma.f64 -1/2 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) (*.f64 -1/8 (pow.f64 (/.f64 Om Omc) 4))))
(fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 -1/8 (pow.f64 (/.f64 Om Omc) 4) 1))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))) (*.f64 -1/16 (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6))))))
(+.f64 1 (fma.f64 -1/2 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (fma.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)) (/.f64 (*.f64 -1/16 (pow.f64 Om 6)) (pow.f64 Omc 6)))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 -1/8 (pow.f64 (/.f64 Om Omc) 4) (*.f64 -1/16 (pow.f64 (/.f64 Om Omc) 6)))))
(+.f64 1 (fma.f64 -1/8 (pow.f64 (/.f64 Om Omc) 4) (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) (*.f64 -1/16 (pow.f64 (/.f64 Om Omc) 6)))))
(/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)
(/.f64 (sqrt.f64 -1) (/.f64 Omc Om))
(*.f64 (/.f64 (sqrt.f64 -1) Omc) Om)
(+.f64 (*.f64 1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))
(fma.f64 1/2 (/.f64 (/.f64 Omc (sqrt.f64 -1)) Om) (/.f64 (sqrt.f64 -1) (/.f64 Omc Om)))
(fma.f64 1/2 (/.f64 (/.f64 Omc Om) (sqrt.f64 -1)) (*.f64 (/.f64 (sqrt.f64 -1) Omc) Om))
(+.f64 (*.f64 1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)))
(fma.f64 1/2 (/.f64 (/.f64 Omc (sqrt.f64 -1)) Om) (fma.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) (/.f64 (sqrt.f64 -1) (/.f64 Omc Om))))
(fma.f64 1/2 (/.f64 (/.f64 Omc Om) (sqrt.f64 -1)) (fma.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 Om 3)))) (*.f64 (/.f64 (sqrt.f64 -1) Omc) Om)))
(fma.f64 (/.f64 -1/8 (pow.f64 Om 3)) (/.f64 (pow.f64 Omc 3) (neg.f64 (sqrt.f64 -1))) (fma.f64 1/2 (/.f64 (/.f64 Omc Om) (sqrt.f64 -1)) (*.f64 (/.f64 (sqrt.f64 -1) Omc) Om)))
(+.f64 (*.f64 1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5)))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))))
(fma.f64 1/2 (/.f64 (/.f64 Omc (sqrt.f64 -1)) Om) (fma.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) (fma.f64 1/16 (/.f64 (/.f64 (pow.f64 Omc 5) (pow.f64 (sqrt.f64 -1) 5)) (pow.f64 Om 5)) (/.f64 (sqrt.f64 -1) (/.f64 Omc Om)))))
(fma.f64 1/2 (/.f64 (/.f64 Omc Om) (sqrt.f64 -1)) (fma.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 Om 3)))) (fma.f64 1/16 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5))) (*.f64 (/.f64 (sqrt.f64 -1) Omc) Om))))
(fma.f64 1/2 (/.f64 (/.f64 Omc Om) (sqrt.f64 -1)) (fma.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 Om 3)))) (fma.f64 1/16 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5))) (*.f64 (/.f64 (sqrt.f64 -1) Omc) Om))))
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))
(neg.f64 (/.f64 (sqrt.f64 -1) (/.f64 Omc Om)))
(/.f64 (*.f64 (neg.f64 Om) (sqrt.f64 -1)) Omc)
(*.f64 (/.f64 (sqrt.f64 -1) Omc) (neg.f64 Om))
(+.f64 (*.f64 -1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)))
(fma.f64 -1/2 (/.f64 (/.f64 Omc (sqrt.f64 -1)) Om) (neg.f64 (/.f64 (sqrt.f64 -1) (/.f64 Omc Om))))
(-.f64 (*.f64 -1/2 (/.f64 (/.f64 Omc Om) (sqrt.f64 -1))) (*.f64 (/.f64 (sqrt.f64 -1) Omc) Om))
(-.f64 (*.f64 (/.f64 -1/2 Om) (/.f64 Omc (sqrt.f64 -1))) (*.f64 (/.f64 (sqrt.f64 -1) Omc) Om))
(+.f64 (*.f64 -1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))))
(fma.f64 -1/2 (/.f64 (/.f64 Omc (sqrt.f64 -1)) Om) (fma.f64 1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) (neg.f64 (/.f64 (sqrt.f64 -1) (/.f64 Omc Om)))))
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 Omc Om) (sqrt.f64 -1)) (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 Om 3)))) 1/8)) (*.f64 (/.f64 (sqrt.f64 -1) Omc) Om))
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 Omc Om) (sqrt.f64 -1)) (*.f64 (/.f64 1/8 (neg.f64 (sqrt.f64 -1))) (/.f64 (pow.f64 Omc 3) (pow.f64 Om 3)))) (*.f64 (/.f64 (sqrt.f64 -1) Omc) Om))
(+.f64 (*.f64 -1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5)))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)))))
(fma.f64 -1/2 (/.f64 (/.f64 Omc (sqrt.f64 -1)) Om) (fma.f64 -1/16 (/.f64 (/.f64 (pow.f64 Omc 5) (pow.f64 (sqrt.f64 -1) 5)) (pow.f64 Om 5)) (fma.f64 1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) (neg.f64 (/.f64 (sqrt.f64 -1) (/.f64 Omc Om))))))
(fma.f64 -1/2 (/.f64 (/.f64 Omc Om) (sqrt.f64 -1)) (-.f64 (fma.f64 -1/16 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5))) (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 Om 3)))) 1/8)) (*.f64 (/.f64 (sqrt.f64 -1) Omc) Om)))
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 Omc Om) (sqrt.f64 -1)) (fma.f64 -1/16 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5))) (*.f64 (/.f64 1/8 (neg.f64 (sqrt.f64 -1))) (/.f64 (pow.f64 Omc 3) (pow.f64 Om 3))))) (*.f64 (/.f64 (sqrt.f64 -1) Omc) Om))
(/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)
(/.f64 (sqrt.f64 -1) (/.f64 Omc Om))
(*.f64 (/.f64 (sqrt.f64 -1) Omc) Om)
(+.f64 (*.f64 1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))
(fma.f64 1/2 (/.f64 (/.f64 Omc (sqrt.f64 -1)) Om) (/.f64 (sqrt.f64 -1) (/.f64 Omc Om)))
(fma.f64 1/2 (/.f64 (/.f64 Omc Om) (sqrt.f64 -1)) (*.f64 (/.f64 (sqrt.f64 -1) Omc) Om))
(+.f64 (*.f64 1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)))
(fma.f64 1/2 (/.f64 (/.f64 Omc (sqrt.f64 -1)) Om) (fma.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) (/.f64 (sqrt.f64 -1) (/.f64 Omc Om))))
(fma.f64 1/2 (/.f64 (/.f64 Omc Om) (sqrt.f64 -1)) (fma.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 Om 3)))) (*.f64 (/.f64 (sqrt.f64 -1) Omc) Om)))
(fma.f64 (/.f64 -1/8 (pow.f64 Om 3)) (/.f64 (pow.f64 Omc 3) (neg.f64 (sqrt.f64 -1))) (fma.f64 1/2 (/.f64 (/.f64 Omc Om) (sqrt.f64 -1)) (*.f64 (/.f64 (sqrt.f64 -1) Omc) Om)))
(+.f64 (*.f64 1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5)))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))))
(fma.f64 1/2 (/.f64 (/.f64 Omc (sqrt.f64 -1)) Om) (fma.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) (fma.f64 1/16 (/.f64 (/.f64 (pow.f64 Omc 5) (pow.f64 (sqrt.f64 -1) 5)) (pow.f64 Om 5)) (/.f64 (sqrt.f64 -1) (/.f64 Omc Om)))))
(fma.f64 1/2 (/.f64 (/.f64 Omc Om) (sqrt.f64 -1)) (fma.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 Om 3)))) (fma.f64 1/16 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5))) (*.f64 (/.f64 (sqrt.f64 -1) Omc) Om))))
(fma.f64 1/2 (/.f64 (/.f64 Omc Om) (sqrt.f64 -1)) (fma.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 Om 3)))) (fma.f64 1/16 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5))) (*.f64 (/.f64 (sqrt.f64 -1) Omc) Om))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))
(+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))
(fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)))))
(+.f64 1 (fma.f64 -1/2 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) (*.f64 -1/8 (pow.f64 (/.f64 Om Omc) 4))))
(fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 -1/8 (pow.f64 (/.f64 Om Omc) 4) 1))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))) (*.f64 -1/16 (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6))))))
(+.f64 1 (fma.f64 -1/2 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (fma.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)) (/.f64 (*.f64 -1/16 (pow.f64 Om 6)) (pow.f64 Omc 6)))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 -1/8 (pow.f64 (/.f64 Om Omc) 4) (*.f64 -1/16 (pow.f64 (/.f64 Om Omc) 6)))))
(+.f64 1 (fma.f64 -1/8 (pow.f64 (/.f64 Om Omc) 4) (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) (*.f64 -1/16 (pow.f64 (/.f64 Om Omc) 6)))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))
(+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))
(fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)))))
(+.f64 1 (fma.f64 -1/2 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) (*.f64 -1/8 (pow.f64 (/.f64 Om Omc) 4))))
(fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 -1/8 (pow.f64 (/.f64 Om Omc) 4) 1))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))) (*.f64 -1/16 (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6))))))
(+.f64 1 (fma.f64 -1/2 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (fma.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)) (/.f64 (*.f64 -1/16 (pow.f64 Om 6)) (pow.f64 Omc 6)))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 -1/8 (pow.f64 (/.f64 Om Omc) 4) (*.f64 -1/16 (pow.f64 (/.f64 Om Omc) 6)))))
(+.f64 1 (fma.f64 -1/8 (pow.f64 (/.f64 Om Omc) 4) (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) (*.f64 -1/16 (pow.f64 (/.f64 Om Omc) 6)))))
(+.f64 0 (pow.f64 (/.f64 Om Omc) 2))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)))))
(-.f64 (+.f64 (pow.f64 (/.f64 Om Omc) 2) 1) 1)
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 Om (/.f64 1 (/.f64 Omc (/.f64 Om Omc))))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 Om (*.f64 Om (pow.f64 Omc -2)))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (*.f64 Om Om) (pow.f64 Omc -2))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (pow.f64 (/.f64 Om Omc) 2) 1)
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 1 (pow.f64 (/.f64 Om Omc) 2))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 2)) (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (cbrt.f64 (pow.f64 (/.f64 Om Omc) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 2)) (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)))
(*.f64 (*.f64 (cbrt.f64 Om) Om) (*.f64 (cbrt.f64 (*.f64 Om Om)) (pow.f64 Omc -2)))
(*.f64 (cbrt.f64 Om) (*.f64 Om (*.f64 (pow.f64 Omc -2) (cbrt.f64 (*.f64 Om Om)))))
(*.f64 (*.f64 Om (cbrt.f64 Om)) (*.f64 (pow.f64 Omc -2) (cbrt.f64 (*.f64 Om Om))))
(*.f64 Om (*.f64 (cbrt.f64 Om) (/.f64 (cbrt.f64 (*.f64 Om Om)) (*.f64 Omc Omc))))
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (*.f64 Om (neg.f64 Om)) (/.f64 1 (*.f64 Omc (neg.f64 Omc))))
(*.f64 Om (*.f64 (neg.f64 Om) (/.f64 1 (*.f64 Omc (neg.f64 Omc)))))
(/.f64 (neg.f64 Om) (/.f64 (neg.f64 (*.f64 Omc Omc)) Om))
(*.f64 Om (/.f64 (/.f64 (neg.f64 Om) Omc) (neg.f64 Omc)))
(*.f64 (pow.f64 Omc -2) (*.f64 Om Om))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (/.f64 Om (/.f64 Omc Om)) (/.f64 1 Omc))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (/.f64 Om 1) (/.f64 Om (*.f64 Omc Omc)))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (/.f64 (*.f64 (cbrt.f64 Om) Om) 1) (/.f64 (cbrt.f64 (*.f64 Om Om)) (*.f64 Omc Omc)))
(*.f64 (cbrt.f64 Om) (*.f64 Om (*.f64 (pow.f64 Omc -2) (cbrt.f64 (*.f64 Om Om)))))
(*.f64 (*.f64 Om (cbrt.f64 Om)) (*.f64 (pow.f64 Omc -2) (cbrt.f64 (*.f64 Om Om))))
(*.f64 Om (*.f64 (cbrt.f64 Om) (/.f64 (cbrt.f64 (*.f64 Om Om)) (*.f64 Omc Omc))))
(*.f64 (/.f64 Om (*.f64 Omc Omc)) Om)
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (/.f64 Om (*.f64 (cbrt.f64 Omc) Omc)) (/.f64 Om (pow.f64 (cbrt.f64 Omc) 2)))
(*.f64 (/.f64 Om (*.f64 Omc (cbrt.f64 Omc))) (/.f64 Om (pow.f64 (cbrt.f64 Omc) 2)))
(*.f64 (/.f64 Om Omc) (/.f64 (/.f64 Om (pow.f64 (cbrt.f64 Omc) 2)) (cbrt.f64 Omc)))
(*.f64 (/.f64 1 Omc) (/.f64 Om (/.f64 Omc Om)))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 Omc) Omc)) (/.f64 (*.f64 Om Om) (pow.f64 (cbrt.f64 Omc) 2)))
(*.f64 (/.f64 Om (*.f64 Omc (cbrt.f64 Omc))) (/.f64 Om (pow.f64 (cbrt.f64 Omc) 2)))
(*.f64 (/.f64 Om Omc) (/.f64 (/.f64 Om (pow.f64 (cbrt.f64 Omc) 2)) (cbrt.f64 Omc)))
(*.f64 (/.f64 (*.f64 (cbrt.f64 Om) Om) Omc) (/.f64 (cbrt.f64 (*.f64 Om Om)) Omc))
(*.f64 (cbrt.f64 Om) (*.f64 Om (*.f64 (pow.f64 Omc -2) (cbrt.f64 (*.f64 Om Om)))))
(*.f64 (*.f64 Om (cbrt.f64 Om)) (*.f64 (pow.f64 Omc -2) (cbrt.f64 (*.f64 Om Om))))
(*.f64 Om (*.f64 (cbrt.f64 Om) (/.f64 (cbrt.f64 (*.f64 Om Om)) (*.f64 Omc Omc))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 Om) Om) (*.f64 (cbrt.f64 Omc) Omc)) (cbrt.f64 (pow.f64 (/.f64 Om Omc) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 2)) (*.f64 (/.f64 (cbrt.f64 Om) (cbrt.f64 Omc)) (/.f64 Om Omc)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 2)) (*.f64 (/.f64 Om Omc) (/.f64 (cbrt.f64 Om) (cbrt.f64 Omc))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 2)) (*.f64 (/.f64 Om (cbrt.f64 Omc)) (/.f64 (cbrt.f64 Om) Omc)))
(pow.f64 (pow.f64 (/.f64 Om Omc) 2) 1)
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 2)) 3)
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(pow.f64 (pow.f64 (/.f64 Om Omc) 4) 1/2)
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(pow.f64 (pow.f64 (/.f64 Om Omc) 6) 1/3)
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(pow.f64 (/.f64 Om Omc) 2)
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (*.f64 (/.f64 Omc Om) (/.f64 Omc Om)) -1)
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(pow.f64 (/.f64 (*.f64 (/.f64 Omc Om) (/.f64 Omc Om)) 1) -1)
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(neg.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc (neg.f64 Omc))))
(*.f64 Om (*.f64 (neg.f64 Om) (/.f64 1 (*.f64 Omc (neg.f64 Omc)))))
(/.f64 (neg.f64 Om) (/.f64 (neg.f64 (*.f64 Omc Omc)) Om))
(*.f64 Om (/.f64 (/.f64 (neg.f64 Om) Omc) (neg.f64 Omc)))
(sqrt.f64 (pow.f64 (/.f64 Om Omc) 4))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(log.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 Om Omc) 2))))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(cbrt.f64 (pow.f64 (/.f64 Om Omc) 6))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 Om Omc) 2)))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(exp.f64 (*.f64 2 (log.f64 (/.f64 Om Omc))))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 Om Omc))) 1))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 Om Omc))) 1) 1))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 2))) 3))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 Om Omc) 6)) 1/3))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 Om Omc))) 3) 1/3))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(exp.f64 (*.f64 (log.f64 (/.f64 Om Omc)) 2))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(exp.f64 (*.f64 (neg.f64 (*.f64 2 (log.f64 (/.f64 Om Omc)))) -1))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 Om Omc) 2)))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(fma.f64 1 (+.f64 (pow.f64 (/.f64 Om Omc) 2) 1) -1)
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 Om Omc) 2) 1)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 Om Omc) 2) 1))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 Om Omc) 2) 1)) -1)
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(fma.f64 (hypot.f64 1 (/.f64 Om Omc)) (hypot.f64 1 (/.f64 Om Omc)) -1)
(+.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (sqrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(+.f64 0 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 1 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
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(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
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(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 1)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))
(*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 1)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 4))) (hypot.f64 1 (/.f64 Om Omc)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 6))) (hypot.f64 1 (hypot.f64 (pow.f64 (/.f64 Om Omc) 2) (/.f64 Om Omc))))
(pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 1)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 3)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3/2))
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 2) 1/4)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) 2)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))
(fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))
(hypot.f64 1 (sqrt.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))))
(exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2)))))
(pow.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2)))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) 1/2))
(pow.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2)))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2)))))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2)))) 1))
(pow.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2)))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2)))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) 1) 1/2))
(pow.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2)))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2)))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) 1/2) 1))
(pow.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2)))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2)))))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2)))) 1) 1))
(pow.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2)))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 3))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2)))) 1/3))
(pow.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2)))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2)))))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2)))) 2))
(pow.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2)))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))

localize36.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.5%
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))
99.3%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))))
93.0%
(/.f64 t (*.f64 (/.f64 l t) l))
83.9%
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))
Compiler

Compiled 120 to 52 computations (56.7% saved)

series12.0ms (0%)

Counts
4 → 168
Calls

42 calls:

TimeVariablePointExpression
2.0ms
t
@0
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))
1.0ms
t
@-inf
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))
1.0ms
t
@0
(/.f64 t (*.f64 (/.f64 l t) l))
0.0ms
l
@0
(/.f64 t (*.f64 (/.f64 l t) l))
0.0ms
t
@inf
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))

rewrite263.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1526×prod-diff
784×expm1-udef
454×add-sqr-sqrt
446×pow1
444×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020196
1445160
26275160
Stop Event
node limit
Counts
4 → 217
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))
(/.f64 t (*.f64 (/.f64 l t) l))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))
Outputs
(((-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4) (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (pow.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) 1/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 1/2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 1 (sqrt.f64 (/.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1) (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 1 (/.f64 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (sqrt.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (sqrt.f64 (neg.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (neg.f64 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/2) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 3/2) 1/3) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4) 2) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fabs.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 3/2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) (log1p.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) 1/2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))
(((-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 t l) 2))) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (pow.f64 (/.f64 t l) 2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 t (/.f64 (/.f64 t l) l)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (/.f64 t l) 2) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (pow.f64 (/.f64 t l) 2)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 t l) 2)) 2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 t l) 2)) 2) (cbrt.f64 (pow.f64 (/.f64 t l) 2))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 t) 2) (*.f64 (cbrt.f64 t) (/.f64 (/.f64 t l) l))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 t l) l))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (neg.f64 t) (/.f64 1 (neg.f64 (*.f64 l (/.f64 l t))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (/.f64 t l) l) t) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 t l) (/.f64 t l)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 t (/.f64 t l)) (/.f64 1 l)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 1 l) (*.f64 t (/.f64 t l))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 l (/.f64 l t))) 2)) (/.f64 t (cbrt.f64 (*.f64 l (/.f64 l t))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 1 (/.f64 l (sqrt.f64 t))) (/.f64 t (/.f64 l (sqrt.f64 t)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) 1) (/.f64 (cbrt.f64 t) (*.f64 l (/.f64 l t)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) l) (/.f64 (cbrt.f64 t) (/.f64 l t))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (/.f64 l t)) (/.f64 (cbrt.f64 t) l)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (pow.f64 (cbrt.f64 (*.f64 l (/.f64 l t))) 2)) (cbrt.f64 (pow.f64 (/.f64 t l) 2))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (/.f64 l (sqrt.f64 t))) (/.f64 (cbrt.f64 t) (/.f64 l (sqrt.f64 t)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 t) 1) (/.f64 (sqrt.f64 t) (*.f64 l (/.f64 l t)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 t) l) (/.f64 (sqrt.f64 t) (/.f64 l t))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 t) (/.f64 l t)) (/.f64 (sqrt.f64 t) l)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 t) (pow.f64 (cbrt.f64 (*.f64 l (/.f64 l t))) 2)) (/.f64 (sqrt.f64 t) (cbrt.f64 (*.f64 l (/.f64 l t))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 t (*.f64 l l)) t) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (/.f64 t l) 2) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (pow.f64 (/.f64 t l) 2)) 3) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 1/3) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 t l) 2) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (/.f64 l t) 2) -1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((neg.f64 (/.f64 t (neg.f64 (*.f64 l (/.f64 l t))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (pow.f64 (/.f64 t l) 2))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 t l) 2)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (/.f64 (pow.f64 t 3) (pow.f64 (*.f64 l (/.f64 l t)) 3))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (pow.f64 (/.f64 t l) 2))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (pow.f64 (/.f64 t l) 2))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 t l) 2)) 1)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (pow.f64 (/.f64 t l) 2))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))
(((+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3) 1/3) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))
(((+.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 1 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 Om Omc) 2) (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))) (/.f64 (/.f64 Om Omc) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (/.f64 1 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))) (/.f64 1 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (/.f64 1 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (/.f64 Om Omc) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) 1) (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (/.f64 Om Omc) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2) (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8)))))) (fma.f64 (neg.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2) (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (*.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2) (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (-.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2)))))) (fma.f64 (neg.f64 (-.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2))) (*.f64 (-.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 1 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 Om Omc) 2) (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))) (/.f64 (/.f64 Om Omc) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (/.f64 1 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))) (/.f64 1 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (/.f64 1 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (/.f64 Om Omc) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) 1) (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (/.f64 Om Omc) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2) (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8)))))) (fma.f64 (neg.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2) (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (*.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2) (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (-.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2)))))) (fma.f64 (neg.f64 (-.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2))) (*.f64 (-.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 1 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 Om Omc) 2) (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))) (/.f64 (/.f64 Om Omc) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (/.f64 1 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))) (/.f64 1 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (/.f64 1 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (/.f64 Om Omc) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) 1) (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (/.f64 Om Omc) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2) (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8)))))) (fma.f64 (neg.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2) (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (*.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2) (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (-.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2)))))) (fma.f64 (neg.f64 (-.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2))) (*.f64 (-.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (+.f64 1 (-.f64 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2) (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 1 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (+.f64 1 (-.f64 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2) (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 Om Omc) 2) (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (+.f64 1 (-.f64 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2) (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (+.f64 1 (-.f64 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2) (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (+.f64 1 (-.f64 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2) (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))) (/.f64 (/.f64 Om Omc) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (+.f64 1 (-.f64 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2) (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (+.f64 1 (-.f64 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2) (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (/.f64 1 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))) (/.f64 1 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (/.f64 1 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (+.f64 1 (-.f64 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2) (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (/.f64 Om Omc) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) 1) (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (/.f64 Om Omc) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (+.f64 1 (-.f64 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2) (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (+.f64 1 (-.f64 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2) (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (+.f64 1 (-.f64 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2) (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (+.f64 1 (-.f64 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2) (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (+.f64 1 (-.f64 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2) (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (neg.f64 (*.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2) (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8)))))) (fma.f64 (neg.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2) (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (*.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2) (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (+.f64 1 (-.f64 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2) (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (neg.f64 (*.f64 (-.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2)))))) (fma.f64 (neg.f64 (-.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2))) (*.f64 (-.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2))) (-.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 1 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2))) (-.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 Om Omc) 2) (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2))) (-.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2))) (-.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2))) (-.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))) (/.f64 (/.f64 Om Omc) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2))) (-.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2))) (-.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (/.f64 1 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))) (/.f64 1 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (/.f64 1 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2))) (-.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (/.f64 Om Omc) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) 1) (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (/.f64 Om Omc) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2))) (-.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2))) (-.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2))) (-.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2))) (-.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2))) (-.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2) (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8)))))) (fma.f64 (neg.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2) (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (*.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2) (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2))) (-.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (-.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2)))))) (fma.f64 (neg.f64 (-.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2))) (*.f64 (-.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4) (*.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (neg.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4)) (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 1 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (+.f64 1 (-.f64 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2) (*.f64 2 (pow.f64 (/.f64 t l) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (-.f64 1 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2))) (-.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 2) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 3) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2) 1/2) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 3) 1/3) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1) (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) -1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((neg.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (neg.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 3)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3) (pow.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1) 3))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) (log1p.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) (log1p.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) 1)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (/.f64 t (*.f64 (/.f64 l t) l)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))

simplify293.0ms (1%)

Algorithm
egg-herbie
Rules
838×associate-*r*
800×associate-*l*
750×*-commutative
642×fma-def
582×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
082645923
1225435947
Stop Event
node limit
Counts
385 → 431
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))))))
(+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6)))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)) (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)) (+.f64 (*.f64 1/16 (*.f64 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))))) (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))))))))
(*.f64 -1 (*.f64 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))) (*.f64 1/8 (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))))))
(+.f64 (*.f64 -1/16 (*.f64 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))))) (+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))) (*.f64 1/8 (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)) (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)) (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))))))))
(sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))))))
(+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6)))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)))))))
(sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))))))
(+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6)))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)))))))
(sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))
(+.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 -1 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))))
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(pow.f64 (/.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1) (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) -1)
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (neg.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3) (pow.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) (log1p.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) (log1p.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
Outputs
(sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))
(sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(+.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 Om Omc) 2)) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))))))
(+.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))))))
(+.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 Om Omc) 2)) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (pow.f64 (/.f64 Om Omc) 4) -1/8))))
(+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6)))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)))))))
(fma.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6))) (+.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)))))))
(+.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 Om Omc) 2)) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (pow.f64 (/.f64 Om Omc) 4) -1/8))) (fma.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (sqrt.f64 -1) (/.f64 Omc Om)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (/.f64 (sqrt.f64 -1) Omc) Om))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 Omc (*.f64 Om (sqrt.f64 -1)))) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (sqrt.f64 -1) (/.f64 Omc Om))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (/.f64 (sqrt.f64 -1) Omc) Om) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (/.f64 Omc (*.f64 Om (sqrt.f64 -1))) 1/2)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)) (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 Omc (*.f64 Om (sqrt.f64 -1)))) (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (sqrt.f64 -1) (/.f64 Omc Om)) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 Omc (*.f64 Om (sqrt.f64 -1)))) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (+.f64 (*.f64 (/.f64 (sqrt.f64 -1) Omc) Om) (/.f64 (*.f64 -1/8 (pow.f64 Omc 3)) (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 Om 3)))))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)) (+.f64 (*.f64 1/16 (*.f64 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))))) (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))))))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 Omc (*.f64 Om (sqrt.f64 -1)))) (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (sqrt.f64 -1) (/.f64 Omc Om)) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))))))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 Omc (*.f64 Om (sqrt.f64 -1)))) (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (/.f64 (sqrt.f64 -1) Omc) Om) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (+.f64 (/.f64 (*.f64 -1/8 (pow.f64 Omc 3)) (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 Om 3)))) (*.f64 1/16 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5))))))))
(*.f64 -1 (*.f64 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (sqrt.f64 -1) (/.f64 Omc Om))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 -1) Omc) Om)))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))))
(fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (sqrt.f64 -1) (/.f64 Omc Om))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 Omc (*.f64 Om (sqrt.f64 -1))))))
(-.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (/.f64 Omc (*.f64 Om (sqrt.f64 -1))) -1/2)) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (/.f64 (sqrt.f64 -1) Omc) Om)))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))) (*.f64 1/8 (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))))))
(fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (sqrt.f64 -1) (/.f64 Omc Om))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 Omc (*.f64 Om (sqrt.f64 -1)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) 1/8)))
(-.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 Omc (*.f64 Om (sqrt.f64 -1)))) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 Om 3)))) 1/8))) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (/.f64 (sqrt.f64 -1) Omc) Om)))
(+.f64 (*.f64 -1/16 (*.f64 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))))) (+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))) (*.f64 1/8 (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))))))))
(fma.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5)))) (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (sqrt.f64 -1) (/.f64 Omc Om))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 Omc (*.f64 Om (sqrt.f64 -1)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) 1/8))))
(+.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 Omc (*.f64 Om (sqrt.f64 -1)))) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 Om 3)))) 1/8))) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (+.f64 (/.f64 (*.f64 -1/16 (pow.f64 Omc 5)) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 -1) Omc) Om)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (sqrt.f64 -1) (/.f64 Omc Om)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (/.f64 (sqrt.f64 -1) Omc) Om))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 Omc (*.f64 Om (sqrt.f64 -1)))) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (sqrt.f64 -1) (/.f64 Omc Om))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (/.f64 (sqrt.f64 -1) Omc) Om) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (/.f64 Omc (*.f64 Om (sqrt.f64 -1))) 1/2)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)) (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 Omc (*.f64 Om (sqrt.f64 -1)))) (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (sqrt.f64 -1) (/.f64 Omc Om)) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 Omc (*.f64 Om (sqrt.f64 -1)))) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (+.f64 (*.f64 (/.f64 (sqrt.f64 -1) Omc) Om) (/.f64 (*.f64 -1/8 (pow.f64 Omc 3)) (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 Om 3)))))))
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(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 4))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (+.f64 1 (-.f64 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2) (*.f64 2 (pow.f64 (/.f64 t l) 2)))))
(*.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2) (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 8 (pow.f64 (pow.f64 (/.f64 t l) 2) 3)))))
(*.f64 (+.f64 (*.f64 4 (pow.f64 (/.f64 t l) 4)) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 8 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 1)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (-.f64 1 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2))) (-.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (-.f64 1 (pow.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (-.f64 1 (*.f64 4 (pow.f64 (/.f64 t l) 4))))
(pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1)
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 2)
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 3)
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2) 1/2)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))
(fabs.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 3) 1/3)
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(pow.f64 (/.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1) (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) -1)
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (neg.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))
(fabs.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 3))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3) (pow.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1) 3)))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) (log1p.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) (log1p.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) 1))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) (log1p.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))

localize55.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.5%
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))
99.3%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))))
92.2%
(*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))
83.9%
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))
Compiler

Compiled 138 to 80 computations (42% saved)

series10.0ms (0%)

Counts
4 → 168
Calls

42 calls:

TimeVariablePointExpression
1.0ms
l
@0
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))
1.0ms
Omc
@0
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))
1.0ms
t
@-inf
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))
0.0ms
t
@inf
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))
0.0ms
l
@-inf
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))

rewrite261.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1736×prod-diff
480×add-sqr-sqrt
470×pow1
466×*-un-lft-identity
444×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022196
1483160
26401160
Stop Event
node limit
Counts
4 → 206
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))
(*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))
Outputs
(((-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4) (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (pow.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 1/2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 1 (sqrt.f64 (/.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1) (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 1 (/.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (sqrt.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (sqrt.f64 (neg.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (neg.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/2) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 3/2) 1/3) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4) 2) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fabs.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 3/2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) (log1p.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) 1/2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))
(((-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 t l) 2))) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 t (*.f64 l (/.f64 l t))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 t (*.f64 (/.f64 l t) l)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (/.f64 t l) (/.f64 l t)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 t t) (*.f64 l l)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (neg.f64 t) (*.f64 (/.f64 l t) (neg.f64 l))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (neg.f64 t) (neg.f64 t)) (*.f64 (neg.f64 l) (neg.f64 l))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (neg.f64 t) 1) (*.f64 (neg.f64 l) (/.f64 l t))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 t (neg.f64 t)) (*.f64 l (neg.f64 l))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (neg.f64 t) t) (*.f64 (neg.f64 l) l)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 t (/.f64 t l)) l) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (/.f64 t l) t) l) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (/.f64 t l) (neg.f64 t)) (neg.f64 l)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (neg.f64 t) (/.f64 t l)) (neg.f64 l)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 t l) 2) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (/.f64 t l) 2) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (cbrt.f64 (/.f64 t l)) 2) 3) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 1/3) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (pow.f64 (/.f64 t l) 2))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 t l) 2)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (*.f64 (pow.f64 t 3) (pow.f64 (*.f64 t (pow.f64 l -2)) 3))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (*.f64 (pow.f64 (*.f64 t (pow.f64 l -2)) 3) (pow.f64 t 3))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (pow.f64 (/.f64 t l) 2))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (pow.f64 (/.f64 t l) 2))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 t l) 2)) 1)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (pow.f64 (/.f64 t l) 2))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))
(((+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3) 1/3) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))
(((+.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 1 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 Om Omc) 2) (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (/.f64 Om Omc) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (/.f64 Om Omc) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) 1) (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (/.f64 Om Omc) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4) (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8)))))) (fma.f64 (neg.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4) (*.f64 -2 (pow.f64 (/.f64 t l) 2))))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (*.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4) (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4)))))) (fma.f64 (neg.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4))) (*.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 1 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 Om Omc) 2) (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (/.f64 Om Omc) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (/.f64 Om Omc) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) 1) (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (/.f64 Om Omc) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4) (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8)))))) (fma.f64 (neg.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4) (*.f64 -2 (pow.f64 (/.f64 t l) 2))))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (*.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4) (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4)))))) (fma.f64 (neg.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4))) (*.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 1 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 Om Omc) 2) (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (/.f64 Om Omc) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (/.f64 Om Omc) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) 1) (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (/.f64 Om Omc) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4) (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8)))))) (fma.f64 (neg.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4) (*.f64 -2 (pow.f64 (/.f64 t l) 2))))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (*.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4) (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4)))))) (fma.f64 (neg.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4))) (*.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (+.f64 1 (+.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4) (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 1 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (+.f64 1 (+.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4) (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 Om Omc) 2) (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (+.f64 1 (+.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4) (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (+.f64 1 (+.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4) (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (+.f64 1 (+.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4) (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (/.f64 Om Omc) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (+.f64 1 (+.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4) (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (+.f64 1 (+.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4) (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (+.f64 1 (+.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4) (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (/.f64 Om Omc) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) 1) (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (/.f64 Om Omc) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (+.f64 1 (+.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4) (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (+.f64 1 (+.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4) (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (+.f64 1 (+.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4) (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (+.f64 1 (+.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4) (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (+.f64 1 (+.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4) (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (neg.f64 (*.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4) (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8)))))) (fma.f64 (neg.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4) (*.f64 -2 (pow.f64 (/.f64 t l) 2))))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (*.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4) (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (+.f64 1 (+.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4) (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (neg.f64 (*.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4)))))) (fma.f64 (neg.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4))) (*.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 1 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 Om Omc) 2) (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (/.f64 Om Omc) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (/.f64 Om Omc) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) 1) (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (/.f64 Om Omc) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4) (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8)))))) (fma.f64 (neg.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4) (*.f64 -2 (pow.f64 (/.f64 t l) 2))))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (*.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4) (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4)))))) (fma.f64 (neg.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4))) (*.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 2) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4) (*.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (neg.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4)) (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (+.f64 1 (+.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4) (*.f64 -2 (pow.f64 (/.f64 t l) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (-.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 2) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 3) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2) 1/2) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 3) 1/3) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1) (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) -1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((neg.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (neg.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 3)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3) (pow.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1) 3))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) (log1p.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) (log1p.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) 1)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))

simplify321.0ms (1.1%)

Algorithm
egg-herbie
Rules
796×associate-*r*
764×associate-*l*
666×*-commutative
650×fma-def
544×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
080145502
1218235344
Stop Event
node limit
Counts
374 → 417
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))))))
(+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6)))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))
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(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4) (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8)))))) (fma.f64 (neg.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4) (*.f64 -2 (pow.f64 (/.f64 t l) 2))))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (*.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4) (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (neg.f64 (*.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4)))))) (fma.f64 (neg.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4))) (*.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4))))))
(-.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1)
(*.f64 1 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 2))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 2) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(*.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4) (*.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(*.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (neg.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4)) (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(*.f64 (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (+.f64 1 (+.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4) (*.f64 -2 (pow.f64 (/.f64 t l) 2)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (-.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))))
(pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1) (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) -1)
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (neg.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3) (pow.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) (log1p.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) (log1p.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
Outputs
(sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))
(sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(+.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 Om Omc) 2)) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))))))
(+.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))))))
(+.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 Om Omc) 2)) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (pow.f64 (/.f64 Om Omc) 4) -1/8))))
(+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6)))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)))))))
(fma.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6))) (+.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)))))))
(+.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 Om Omc) 2)) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (pow.f64 (/.f64 Om Omc) 4) -1/8))) (fma.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (sqrt.f64 -1) (/.f64 Omc Om)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 Om (/.f64 Omc (sqrt.f64 -1))))
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(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 2))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 4))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 2) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(*.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4) (*.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(*.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (neg.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4)) (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))
(*.f64 (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (hypot.f64 1 (/.f64 t (/.f64 l (sqrt.f64 2))))) (hypot.f64 1 (/.f64 t (/.f64 l (sqrt.f64 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))
(*.f64 (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (hypot.f64 1 (/.f64 t (/.f64 l (sqrt.f64 2))))) (hypot.f64 1 (/.f64 t (/.f64 l (sqrt.f64 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 4))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 8))) (+.f64 1 (+.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4) (*.f64 -2 (pow.f64 (/.f64 t l) 2)))))
(*.f64 (+.f64 1 (fma.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4 (*.f64 -2 (pow.f64 (/.f64 t l) 2)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 8 (pow.f64 (pow.f64 (/.f64 t l) 2) 3)))))
(*.f64 (+.f64 1 (fma.f64 -2 (pow.f64 (/.f64 t l) 2) (*.f64 4 (pow.f64 (/.f64 t l) 4)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 8 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 1)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (-.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 t l) 2) 2) 4))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))))
(*.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 t l) 2))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (-.f64 1 (*.f64 4 (pow.f64 (pow.f64 (/.f64 t l) 2) 2)))))
(*.f64 (fma.f64 -2 (pow.f64 (/.f64 t l) 2) 1) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (-.f64 1 (*.f64 4 (pow.f64 (/.f64 t l) 4)))))
(pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1)
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 2)
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 3)
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2) 1/2)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))
(fabs.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 3) 1/3)
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(pow.f64 (/.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1) (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) -1)
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (neg.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))
(fabs.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 3))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3) (pow.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1) 3)))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) (log1p.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) (log1p.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) 1))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) (log1p.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (*.f64 Omc Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))

localize59.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.6%
(pow.f64 (/.f64 t l) 2)
99.5%
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
99.3%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
83.9%
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
Compiler

Compiled 131 to 81 computations (38.2% saved)

series19.0ms (0.1%)

Counts
3 → 96
Calls

36 calls:

TimeVariablePointExpression
6.0ms
Om
@0
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
2.0ms
Omc
@0
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
1.0ms
l
@-inf
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
1.0ms
l
@inf
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
1.0ms
t
@-inf
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))

rewrite205.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1934×log-prod
712×expm1-udef
710×log1p-udef
650×prod-diff
412×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019147
1409147
25250147
Stop Event
node limit
Counts
3 → 150
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
Outputs
(((+.f64 0 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4) (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (pow.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 1/2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 1 (sqrt.f64 (/.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1) (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 1 (/.f64 (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (sqrt.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (sqrt.f64 (neg.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (neg.f64 (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/2) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 3/2) 1/3) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4) 2) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fabs.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 3/2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 1/2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))
(((+.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 0 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))))) (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3)) (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (fma.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3) 1/3) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))
(((+.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (/.f64 Om Omc) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 0 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 1 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 Om Omc) 2) (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 1 (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (/.f64 Om Omc) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) 1) (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (/.f64 Om Omc) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 1 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 Om Omc) 2) (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 1 (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (/.f64 Om Omc) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) 1) (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (/.f64 Om Omc) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 1 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 Om Omc) 2) (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 1 (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 1 (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (/.f64 Om Omc) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) 1) (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (/.f64 Om Omc) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 2) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4) (*.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (neg.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4)) (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 1 (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 2) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 3) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2) 1/2) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 3) 1/3) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1) (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) -1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((neg.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (neg.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 3)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3) (pow.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1) 3))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 1)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))

simplify317.0ms (1.1%)

Algorithm
egg-herbie
Rules
704×fma-def
614×associate-*r*
610×*-commutative
604×associate-*l*
508×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
065833352
1176324156
2650624156
Stop Event
node limit
Counts
246 → 310
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))))))
(+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6)))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)) (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)) (+.f64 (*.f64 1/16 (*.f64 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))))) (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))))))))
(*.f64 -1 (*.f64 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))) (*.f64 1/8 (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))))))
(+.f64 (*.f64 -1/16 (*.f64 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))))) (+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))) (*.f64 1/8 (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)) (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)) (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))))))))
(sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))))))
(+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6)))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)))))))
(sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))))))
(+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6)))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)))))))
(sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))
(+.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 -1 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -1 (*.f64 (/.f64 1 (pow.f64 l 2)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 2) (*.f64 -4 (/.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (pow.f64 l 4)))) (pow.f64 t 4)) (sqrt.f64 (/.f64 1 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))) (+.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 -1 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (/.f64 (pow.f64 Om 2) (*.f64 (pow.f64 Omc 2) (pow.f64 l 6))) (+.f64 (*.f64 -4 (/.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (pow.f64 l 6))) (+.f64 (*.f64 8 (/.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (pow.f64 l 6))) (/.f64 1 (pow.f64 l 6))))) (pow.f64 t 6)) (sqrt.f64 (/.f64 1 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -1 (*.f64 (/.f64 1 (pow.f64 l 2)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 2) (*.f64 -4 (/.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (pow.f64 l 4)))) (pow.f64 t 4)) (sqrt.f64 (/.f64 1 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))) (+.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 -1 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
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(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(-.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1)
(*.f64 1 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 2))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 2) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(*.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4) (*.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(*.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (neg.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4)) (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1) (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) -1)
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (neg.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3) (pow.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
Outputs
(sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))
(sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l)))))
(sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l))))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l))))) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 Om Omc) 2)) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))))))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l))))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l))))) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l))))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))))))
(+.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 Om Omc) 2)) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (pow.f64 (/.f64 Om Omc) 4) -1/8))))
(+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6)))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)))))))
(fma.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l))))) (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l))))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l))))) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l))))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)))))))
(+.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 Om Omc) 2)) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (pow.f64 (/.f64 Om Omc) 4) -1/8))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) -1/16) (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6)) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l))))) (/.f64 (sqrt.f64 -1) (/.f64 Omc Om)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (sqrt.f64 -1) (/.f64 Omc Om)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)))
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(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 4))
(pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1)
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l))) (*.f64 Omc Omc))) (/.f64 1 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 2)
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l))) (*.f64 Omc Omc))) (/.f64 1 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 3)
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l))) (*.f64 Omc Omc))) (/.f64 1 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2) 1/2)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))
(fabs.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 3) 1/3)
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l))) (*.f64 Omc Omc))) (/.f64 1 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(pow.f64 (/.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1) (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) -1)
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l))) (*.f64 Omc Omc))) (/.f64 1 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (neg.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l))) (*.f64 Omc Omc))) (/.f64 1 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))
(fabs.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l))) (*.f64 Omc Omc))) (/.f64 1 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l))) (*.f64 Omc Omc))) (/.f64 1 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 3))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l))) (*.f64 Omc Omc))) (/.f64 1 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3) (pow.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1) 3)))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l))) (*.f64 Omc Omc))) (/.f64 1 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l))) (*.f64 Omc Omc))) (/.f64 1 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l))) (*.f64 Omc Omc))) (/.f64 1 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) 1))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l))) (*.f64 Omc Omc))) (/.f64 1 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l))) (*.f64 Omc Omc))) (/.f64 1 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l))) (*.f64 Omc Omc))) (/.f64 1 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l))) (*.f64 Omc Omc))) (/.f64 1 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l))) (*.f64 Omc Omc))) (/.f64 1 (+.f64 1 (/.f64 (*.f64 2 (*.f64 t t)) (*.f64 l l)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))

eval1.7s (6.1%)

Compiler

Compiled 87922 to 61057 computations (30.6% saved)

prune527.0ms (1.9%)

Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New1665191684
Fresh11718
Picked101
Done314
Total1680271707
Accurracy
99.3%
Counts
1707 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.9%
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
48.9%
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
49.7%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
81.6%
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2)
80.7%
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)
48.9%
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 3)
50.4%
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)
49.6%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))
81.0%
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)))
50.4%
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
50.0%
(asin.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1))
98.6%
(asin.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (sqrt.f64 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))) (sqrt.f64 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))
98.6%
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))
43.0%
(asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)))
33.1%
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 (neg.f64 l) (*.f64 (sqrt.f64 2) t))))
32.0%
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 l (/.f64 t (sqrt.f64 1/2)))))
32.0%
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 l (*.f64 (sqrt.f64 2) t))))
33.1%
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2))))))
27.6%
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l))))
81.0%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (*.f64 (/.f64 t l) t) l))))))
79.5%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))))
82.5%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))))
78.4%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 (/.f64 (/.f64 t l) l) t))))))
50.4%
(asin.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
21.0%
(asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (*.f64 l l) (/.f64 (*.f64 t t) (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))))
29.6%
(asin.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))))
49.5%
(asin.f64 1)
Compiler

Compiled 1177 to 943 computations (19.9% saved)

localize32.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.8%
(/.f64 (/.f64 Om Omc) (/.f64 Omc Om))
99.5%
(/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))
99.4%
(*.f64 (/.f64 t l) (sqrt.f64 2))
99.3%
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))
Compiler

Compiled 100 to 44 computations (56% saved)

series7.0ms (0%)

Counts
3 → 120
Calls

30 calls:

TimeVariablePointExpression
0.0ms
t
@0
(/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))
0.0ms
Omc
@inf
(/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))
0.0ms
t
@inf
(/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))
0.0ms
l
@0
(/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))
0.0ms
t
@-inf
(/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))

rewrite142.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1256×prod-diff
760×expm1-udef
758×log1p-udef
440×add-sqr-sqrt
430×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020137
1435119
25889119
Stop Event
node limit
Counts
3 → 117
Calls
Call 1
Inputs
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))
(/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))
(/.f64 (/.f64 Om Omc) (/.f64 Omc Om))
Outputs
(((+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) 1))) (fma.f64 (neg.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 1 (*.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) 1))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (*.f64 (cbrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (cbrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (*.f64 (cbrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (cbrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (*.f64 (cbrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (*.f64 (cbrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (cbrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (sqrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) 1))) (fma.f64 (neg.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 1 (*.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) 1))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (*.f64 (cbrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (cbrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (*.f64 (cbrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (cbrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (*.f64 (cbrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (*.f64 (cbrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (cbrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (sqrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) 1))) (fma.f64 (neg.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 1 (*.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) 1))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (*.f64 (cbrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (cbrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (*.f64 (cbrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (cbrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (*.f64 (cbrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (*.f64 (cbrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (cbrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (sqrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) 1))) (fma.f64 (neg.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 1 (*.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) 1))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (*.f64 (cbrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (cbrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (*.f64 (cbrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (cbrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (*.f64 (cbrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (*.f64 (cbrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (cbrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (sqrt.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (exp.f64 (log1p.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) 1) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) 1) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2) (cbrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) 1) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 3) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) 3) 1/3) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) 2)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) 3)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 1)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))
(((-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 1) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) 1) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) (*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (/.f64 1 (neg.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (sqrt.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (sqrt.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (sqrt.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) (cbrt.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) 1) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) 3) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) 3) 1/3) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) 2) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) -1) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (neg.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) 3)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3/2) (pow.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))) 3))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) 1)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))
(((-.f64 (+.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (pow.f64 (/.f64 Om Omc) 2)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 Om (/.f64 (/.f64 Om Omc) Omc)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 Om (*.f64 (/.f64 1 Omc) (/.f64 Om Omc))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (/.f64 Om Omc) 2) 1) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) 2)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (/.f64 (/.f64 Om Omc) (cbrt.f64 (/.f64 Omc Om)))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (*.f64 (cbrt.f64 (/.f64 Om Omc)) (/.f64 Om Omc))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) 2) (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 Om Om) (*.f64 (/.f64 1 Omc) (/.f64 1 Omc))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (/.f64 Om Omc)) (/.f64 (/.f64 Om Omc) (sqrt.f64 (/.f64 Omc Om)))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (/.f64 Om Omc)) (*.f64 (sqrt.f64 (/.f64 Om Omc)) (/.f64 Om Omc))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (neg.f64 Om) Omc) (/.f64 1 (/.f64 (neg.f64 Omc) Om))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 1 Omc) (/.f64 (/.f64 Om Omc) (/.f64 1 Om))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (/.f64 Om Omc) Omc) Om) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (/.f64 Om Omc) (sqrt.f64 (/.f64 Om Omc))) (sqrt.f64 (/.f64 Om Omc))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (/.f64 Om Omc) Om) (/.f64 1 Omc)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 Om) 2) (/.f64 Omc Om)) (/.f64 (cbrt.f64 Om) Omc)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 Om) (/.f64 Omc Om)) (/.f64 (sqrt.f64 Om) Omc)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 Om 1) (/.f64 (/.f64 1 Omc) (/.f64 Omc Om))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 Om (pow.f64 (cbrt.f64 (/.f64 Omc Om)) 2)) (/.f64 (/.f64 1 Omc) (cbrt.f64 (/.f64 Omc Om)))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 Om (sqrt.f64 (/.f64 Omc Om))) (/.f64 (/.f64 1 Omc) (sqrt.f64 (/.f64 Omc Om)))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) 1) (/.f64 (cbrt.f64 (/.f64 Om Omc)) (/.f64 Omc Om))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) Omc) (/.f64 (cbrt.f64 (/.f64 Om Omc)) (/.f64 1 Om))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (pow.f64 (cbrt.f64 (/.f64 Omc Om)) 2)) (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (sqrt.f64 (/.f64 Omc Om))) (/.f64 (cbrt.f64 (/.f64 Om Omc)) (sqrt.f64 (/.f64 Omc Om)))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 (/.f64 Om Omc)) 1) (/.f64 (sqrt.f64 (/.f64 Om Omc)) (/.f64 Omc Om))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 (/.f64 Om Omc)) Omc) (/.f64 (sqrt.f64 (/.f64 Om Omc)) (/.f64 1 Om))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 (/.f64 Om Omc)) (pow.f64 (cbrt.f64 (/.f64 Omc Om)) 2)) (/.f64 (sqrt.f64 (/.f64 Om Omc)) (cbrt.f64 (/.f64 Omc Om)))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (/.f64 Om Omc) 1) (/.f64 Om Omc)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2)) (cbrt.f64 (/.f64 Om Omc))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (/.f64 (/.f64 Om Omc) Omc) 1) Om) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (/.f64 (/.f64 Om Omc) Omc) (pow.f64 (cbrt.f64 Om) 2)) (cbrt.f64 Om)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (/.f64 (/.f64 Om Omc) Omc) (sqrt.f64 Om)) (sqrt.f64 Om)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (/.f64 Om Omc) (neg.f64 Omc)) (neg.f64 Om)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 Om Omc) 2) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (/.f64 Om Omc) 2) 1) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) 3) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (pow.f64 (/.f64 Om Omc) 2) 3) 1/3) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (/.f64 Omc Om) 2) -1) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((neg.f64 (/.f64 (/.f64 Om Omc) (/.f64 (neg.f64 Omc) Om))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (pow.f64 (pow.f64 (/.f64 Om Omc) 2) 2)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (pow.f64 (/.f64 Om Omc) 2) 3)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (pow.f64 (/.f64 Om Omc) 2))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (pow.f64 (/.f64 Om Omc) 2))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 Om Omc) 2)) 1)) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (pow.f64 (/.f64 Om Omc) 2))) #(struct:egraph-query ((asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))

simplify175.0ms (0.6%)

Algorithm
egg-herbie
Rules
1214×unswap-sqr
580×associate-*l*
574×associate-*r*
554×*-commutative
504×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049618355
1138814073
2517713985
Stop Event
node limit
Counts
237 → 255
Calls
Call 1
Inputs
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 t 2)) (pow.f64 l 2)))))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 t 2)) (pow.f64 l 2))))) (*.f64 -1/2 (*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 t 2)) (pow.f64 l 2))))))))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 t 2)) (pow.f64 l 2))))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 t 2)) (pow.f64 l 2))))))) (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 t 2)) (pow.f64 l 2)))))))))
(+.f64 (*.f64 -1/16 (*.f64 (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6)) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 t 2)) (pow.f64 l 2))))))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 t 2)) (pow.f64 l 2))))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 t 2)) (pow.f64 l 2))))))) (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 t 2)) (pow.f64 l 2))))))))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 t 2)) (pow.f64 l 2))))))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 t 2)) (pow.f64 l 2))))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 t 2)) (pow.f64 l 2)))))))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 t 2)) (pow.f64 l 2))))))) (+.f64 (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 t 2)) (pow.f64 l 2))))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 t 2)) (pow.f64 l 2))))))))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 t 2)) (pow.f64 l 2))))))) (+.f64 (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 t 2)) (pow.f64 l 2))))))) (+.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 t 2)) (pow.f64 l 2)))))) (*.f64 1/16 (*.f64 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5))) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 t 2)) (pow.f64 l 2))))))))))
(*.f64 -1 (*.f64 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 t 2)) (pow.f64 l 2)))))))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 t 2)) (pow.f64 l 2))))))) (*.f64 -1/2 (*.f64 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 t 2)) (pow.f64 l 2))))))))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 t 2)) (pow.f64 l 2))))))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 t 2)) (pow.f64 l 2))))))) (*.f64 1/8 (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 t 2)) (pow.f64 l 2)))))))))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 t 2)) (pow.f64 l 2))))))) (+.f64 (*.f64 -1/16 (*.f64 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5))) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 t 2)) (pow.f64 l 2))))))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 t 2)) (pow.f64 l 2))))))) (*.f64 1/8 (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 t 2)) (pow.f64 l 2))))))))))
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(pow.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) 3) 1/3)
(pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)
(sqrt.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) 2))
(log.f64 (exp.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))))
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) 3))
(expm1.f64 (log1p.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))))
(exp.f64 (log.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 1)
(*.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) 1)
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))
(*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) (*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (/.f64 1 (neg.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))
(*.f64 (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))
(*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (sqrt.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (sqrt.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (sqrt.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) (cbrt.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) 2)
(pow.f64 (/.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) -1)
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (neg.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3/2) (pow.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))
(-.f64 (+.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1)
(*.f64 1 (pow.f64 (/.f64 Om Omc) 2))
(*.f64 Om (/.f64 (/.f64 Om Omc) Omc))
(*.f64 Om (*.f64 (/.f64 1 Omc) (/.f64 Om Omc)))
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
(*.f64 (pow.f64 (/.f64 Om Omc) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (/.f64 (/.f64 Om Omc) (cbrt.f64 (/.f64 Omc Om))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (*.f64 (cbrt.f64 (/.f64 Om Omc)) (/.f64 Om Omc)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) 2) (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2))
(*.f64 (*.f64 Om Om) (*.f64 (/.f64 1 Omc) (/.f64 1 Omc)))
(*.f64 (sqrt.f64 (/.f64 Om Omc)) (/.f64 (/.f64 Om Omc) (sqrt.f64 (/.f64 Omc Om))))
(*.f64 (sqrt.f64 (/.f64 Om Omc)) (*.f64 (sqrt.f64 (/.f64 Om Omc)) (/.f64 Om Omc)))
(*.f64 (/.f64 (neg.f64 Om) Omc) (/.f64 1 (/.f64 (neg.f64 Omc) Om)))
(*.f64 (/.f64 1 Omc) (/.f64 (/.f64 Om Omc) (/.f64 1 Om)))
(*.f64 (/.f64 (/.f64 Om Omc) Omc) Om)
(*.f64 (*.f64 (/.f64 Om Omc) (sqrt.f64 (/.f64 Om Omc))) (sqrt.f64 (/.f64 Om Omc)))
(*.f64 (*.f64 (/.f64 Om Omc) Om) (/.f64 1 Omc))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 Om) 2) (/.f64 Omc Om)) (/.f64 (cbrt.f64 Om) Omc))
(*.f64 (/.f64 (sqrt.f64 Om) (/.f64 Omc Om)) (/.f64 (sqrt.f64 Om) Omc))
(*.f64 (/.f64 Om 1) (/.f64 (/.f64 1 Omc) (/.f64 Omc Om)))
(*.f64 (/.f64 Om (pow.f64 (cbrt.f64 (/.f64 Omc Om)) 2)) (/.f64 (/.f64 1 Omc) (cbrt.f64 (/.f64 Omc Om))))
(*.f64 (/.f64 Om (sqrt.f64 (/.f64 Omc Om))) (/.f64 (/.f64 1 Omc) (sqrt.f64 (/.f64 Omc Om))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) 1) (/.f64 (cbrt.f64 (/.f64 Om Omc)) (/.f64 Omc Om)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) Omc) (/.f64 (cbrt.f64 (/.f64 Om Omc)) (/.f64 1 Om)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (pow.f64 (cbrt.f64 (/.f64 Omc Om)) 2)) (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (sqrt.f64 (/.f64 Omc Om))) (/.f64 (cbrt.f64 (/.f64 Om Omc)) (sqrt.f64 (/.f64 Omc Om))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 Om Omc)) 1) (/.f64 (sqrt.f64 (/.f64 Om Omc)) (/.f64 Omc Om)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 Om Omc)) Omc) (/.f64 (sqrt.f64 (/.f64 Om Omc)) (/.f64 1 Om)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 Om Omc)) (pow.f64 (cbrt.f64 (/.f64 Omc Om)) 2)) (/.f64 (sqrt.f64 (/.f64 Om Omc)) (cbrt.f64 (/.f64 Omc Om))))
(*.f64 (/.f64 (/.f64 Om Omc) 1) (/.f64 Om Omc))
(*.f64 (*.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2)) (cbrt.f64 (/.f64 Om Omc)))
(*.f64 (*.f64 (/.f64 (/.f64 Om Omc) Omc) 1) Om)
(*.f64 (*.f64 (/.f64 (/.f64 Om Omc) Omc) (pow.f64 (cbrt.f64 Om) 2)) (cbrt.f64 Om))
(*.f64 (*.f64 (/.f64 (/.f64 Om Omc) Omc) (sqrt.f64 Om)) (sqrt.f64 Om))
(*.f64 (/.f64 (/.f64 Om Omc) (neg.f64 Omc)) (neg.f64 Om))
(pow.f64 (/.f64 Om Omc) 2)
(pow.f64 (pow.f64 (/.f64 Om Omc) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (/.f64 Om Omc) 2) 3) 1/3)
(pow.f64 (pow.f64 (/.f64 Omc Om) 2) -1)
(neg.f64 (/.f64 (/.f64 Om Omc) (/.f64 (neg.f64 Omc) Om)))
(sqrt.f64 (pow.f64 (pow.f64 (/.f64 Om Omc) 2) 2))
(log.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 Om Omc) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 Om Omc) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 Om Omc) 2)))
(exp.f64 (log.f64 (pow.f64 (/.f64 Om Omc) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 Om Omc) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 Om Omc) 2)))
Outputs
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 1 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 1 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 1 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 1 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 1 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 1 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 1 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 1 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 1 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 1 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 1 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 1 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
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(*.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) (cbrt.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) 1)
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) 3)
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) 3) 1/3)
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) 2)
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))
(pow.f64 (/.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) -1)
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (neg.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) 3))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3/2) (pow.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3/2) (pow.f64 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) 1))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))
(-.f64 (+.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1)
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 1 (pow.f64 (/.f64 Om Omc) 2))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 Om (/.f64 (/.f64 Om Omc) Omc))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 Om (*.f64 (/.f64 1 Omc) (/.f64 Om Omc)))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (pow.f64 (/.f64 Om Omc) 2) 1)
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) 2))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (/.f64 (/.f64 Om Omc) (cbrt.f64 (/.f64 Omc Om))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (/.f64 Om (*.f64 (cbrt.f64 (/.f64 Omc Om)) Omc)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (/.f64 Om (*.f64 Omc (cbrt.f64 (/.f64 Omc Om)))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 5) (cbrt.f64 (/.f64 Omc Om)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (*.f64 (cbrt.f64 (/.f64 Om Omc)) (/.f64 Om Omc)))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) 2) (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (*.f64 Om Om) (*.f64 (/.f64 1 Omc) (/.f64 1 Omc)))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (sqrt.f64 (/.f64 Om Omc)) (/.f64 (/.f64 Om Omc) (sqrt.f64 (/.f64 Omc Om))))
(*.f64 (sqrt.f64 (/.f64 Om Omc)) (/.f64 Om (*.f64 Omc (sqrt.f64 (/.f64 Omc Om)))))
(/.f64 (pow.f64 (sqrt.f64 (/.f64 Om Omc)) 3) (sqrt.f64 (/.f64 Omc Om)))
(*.f64 (sqrt.f64 (/.f64 Om Omc)) (*.f64 (sqrt.f64 (/.f64 Om Omc)) (/.f64 Om Omc)))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (/.f64 (neg.f64 Om) Omc) (/.f64 1 (/.f64 (neg.f64 Omc) Om)))
(*.f64 (/.f64 (neg.f64 Om) Omc) (*.f64 (/.f64 1 (neg.f64 Omc)) Om))
(*.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc (neg.f64 Omc))))
(*.f64 (/.f64 1 Omc) (/.f64 (/.f64 Om Omc) (/.f64 1 Om)))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (/.f64 (/.f64 Om Omc) Omc) Om)
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (*.f64 (/.f64 Om Omc) (sqrt.f64 (/.f64 Om Omc))) (sqrt.f64 (/.f64 Om Omc)))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (*.f64 (/.f64 Om Omc) Om) (/.f64 1 Omc))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 Om) 2) (/.f64 Omc Om)) (/.f64 (cbrt.f64 Om) Omc))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (/.f64 (sqrt.f64 Om) (/.f64 Omc Om)) (/.f64 (sqrt.f64 Om) Omc))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (/.f64 Om 1) (/.f64 (/.f64 1 Omc) (/.f64 Omc Om)))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (/.f64 Om (pow.f64 (cbrt.f64 (/.f64 Omc Om)) 2)) (/.f64 (/.f64 1 Omc) (cbrt.f64 (/.f64 Omc Om))))
(*.f64 (/.f64 Om (pow.f64 (cbrt.f64 (/.f64 Omc Om)) 2)) (/.f64 1 (*.f64 (cbrt.f64 (/.f64 Omc Om)) Omc)))
(/.f64 (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (/.f64 Omc Om)) 2)) (cbrt.f64 (/.f64 Omc Om)))
(*.f64 (/.f64 Om (sqrt.f64 (/.f64 Omc Om))) (/.f64 (/.f64 1 Omc) (sqrt.f64 (/.f64 Omc Om))))
(/.f64 (/.f64 Om (*.f64 Omc (sqrt.f64 (/.f64 Omc Om)))) (sqrt.f64 (/.f64 Omc Om)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) 1) (/.f64 (cbrt.f64 (/.f64 Om Omc)) (/.f64 Omc Om)))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) Omc) (/.f64 (cbrt.f64 (/.f64 Om Omc)) (/.f64 1 Om)))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (pow.f64 (cbrt.f64 (/.f64 Omc Om)) 2)) (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) 2) (pow.f64 (cbrt.f64 (/.f64 Omc Om)) 2))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 4) (pow.f64 (cbrt.f64 (/.f64 Omc Om)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (sqrt.f64 (/.f64 Omc Om))) (/.f64 (cbrt.f64 (/.f64 Om Omc)) (sqrt.f64 (/.f64 Omc Om))))
(*.f64 (/.f64 Om (sqrt.f64 (/.f64 Omc Om))) (/.f64 (/.f64 1 Omc) (sqrt.f64 (/.f64 Omc Om))))
(/.f64 (/.f64 Om (*.f64 Omc (sqrt.f64 (/.f64 Omc Om)))) (sqrt.f64 (/.f64 Omc Om)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 Om Omc)) 1) (/.f64 (sqrt.f64 (/.f64 Om Omc)) (/.f64 Omc Om)))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (/.f64 (sqrt.f64 (/.f64 Om Omc)) Omc) (/.f64 (sqrt.f64 (/.f64 Om Omc)) (/.f64 1 Om)))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (/.f64 (sqrt.f64 (/.f64 Om Omc)) (pow.f64 (cbrt.f64 (/.f64 Omc Om)) 2)) (/.f64 (sqrt.f64 (/.f64 Om Omc)) (cbrt.f64 (/.f64 Omc Om))))
(*.f64 (/.f64 Om (pow.f64 (cbrt.f64 (/.f64 Omc Om)) 2)) (/.f64 1 (*.f64 (cbrt.f64 (/.f64 Omc Om)) Omc)))
(/.f64 (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (/.f64 Omc Om)) 2)) (cbrt.f64 (/.f64 Omc Om)))
(*.f64 (/.f64 (/.f64 Om Omc) 1) (/.f64 Om Omc))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (*.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2)) (cbrt.f64 (/.f64 Om Omc)))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (*.f64 (/.f64 (/.f64 Om Omc) Omc) 1) Om)
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (*.f64 (/.f64 (/.f64 Om Omc) Omc) (pow.f64 (cbrt.f64 Om) 2)) (cbrt.f64 Om))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (*.f64 (/.f64 (/.f64 Om Omc) Omc) (sqrt.f64 Om)) (sqrt.f64 Om))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(*.f64 (/.f64 (/.f64 Om Omc) (neg.f64 Omc)) (neg.f64 Om))
(*.f64 (/.f64 (neg.f64 Om) Omc) (*.f64 (/.f64 1 (neg.f64 Omc)) Om))
(*.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc (neg.f64 Omc))))
(pow.f64 (/.f64 Om Omc) 2)
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (pow.f64 (/.f64 Om Omc) 2) 1)
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) 3)
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(pow.f64 (pow.f64 (pow.f64 (/.f64 Om Omc) 2) 3) 1/3)
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(pow.f64 (pow.f64 (/.f64 Omc Om) 2) -1)
(/.f64 1 (pow.f64 (/.f64 Omc Om) 2))
(neg.f64 (/.f64 (/.f64 Om Omc) (/.f64 (neg.f64 Omc) Om)))
(*.f64 (/.f64 (neg.f64 Om) Omc) (*.f64 (/.f64 1 (neg.f64 Omc)) Om))
(*.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc (neg.f64 Omc))))
(sqrt.f64 (pow.f64 (pow.f64 (/.f64 Om Omc) 2) 2))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(log.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 Om Omc) 2))))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 Om Omc) 2) 3))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 Om Omc) 2)))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(exp.f64 (log.f64 (pow.f64 (/.f64 Om Omc) 2)))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 Om Omc) 2)) 1))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 Om Omc) 2)))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) 2)

localize5.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

localize31.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))
100.0%
(sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))
99.2%
(/.f64 (sqrt.f64 1/2) (/.f64 t l))
76.7%
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
Compiler

Compiled 107 to 44 computations (58.9% saved)

series9.0ms (0%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
t
@0
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))
1.0ms
Om
@inf
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))
1.0ms
l
@0
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))
1.0ms
Om
@0
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))
1.0ms
t
@0
(/.f64 (sqrt.f64 1/2) (/.f64 t l))

rewrite3.3s (11.7%)

Algorithm
batch-egg-rewrite
Rules
1974×log-prod
948×prod-diff
656×expm1-udef
652×log1p-udef
386×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01868
138458
2520858
Stop Event
node limit
Counts
2 → 74
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 1/2) (/.f64 t l))
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))
Outputs
(((+.f64 0 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 l t))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 l t))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 l t))))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 l t)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 l t))))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) 1) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 1/2) (/.f64 l t)) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 l (/.f64 (sqrt.f64 1/2) t)) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 1) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) (cbrt.f64 (/.f64 1/2 (pow.f64 (/.f64 t l) 2)))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (/.f64 1/2 (pow.f64 (/.f64 t l) 2))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (/.f64 l t))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 1/2 1/4) (*.f64 (pow.f64 1/2 1/4) (/.f64 l t))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1 (/.f64 (neg.f64 t) l))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 l t) (sqrt.f64 1/2)) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 1/2) t) l) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 1 t) (/.f64 (sqrt.f64 1/2) (/.f64 1 l))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 t l)) 2)) (/.f64 (sqrt.f64 1/2) (cbrt.f64 (/.f64 t l)))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 1 (sqrt.f64 (/.f64 t l))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 t l)))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (cbrt.f64 1/2) t) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (/.f64 1 l))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (cbrt.f64 1/2) 1) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (/.f64 t l))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (cbrt.f64 1/2) (pow.f64 (cbrt.f64 (/.f64 t l)) 2)) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (cbrt.f64 1/2) (sqrt.f64 (/.f64 t l))) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (sqrt.f64 (/.f64 t l)))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 1/2 1/4) t) (/.f64 (pow.f64 1/2 1/4) (/.f64 1 l))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 1/2 1/4) 1) (/.f64 (pow.f64 1/2 1/4) (/.f64 t l))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 1/2 1/4) (pow.f64 (cbrt.f64 (/.f64 t l)) 2)) (/.f64 (pow.f64 1/2 1/4) (cbrt.f64 (/.f64 t l)))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) 1) l) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l)) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (sqrt.f64 l)) (sqrt.f64 l)) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 1/2) 1) (/.f64 l t)) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 t)) (neg.f64 l)) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 1) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 3) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 3) 1/3) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 2) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 t (*.f64 (sqrt.f64 1/2) l)) -1) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((neg.f64 (/.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 t) l))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (/.f64 1/2 (pow.f64 (/.f64 t l) 2))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 l t))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 3)) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (/.f64 (*.f64 1/2 (sqrt.f64 1/2)) (pow.f64 (/.f64 t l) 3))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 1)) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))
(((+.f64 0 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t)))) (cbrt.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t)))))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t)))))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t)))) 1) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 1 (/.f64 (/.f64 t l) (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 t (*.f64 (sqrt.f64 1/2) l))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 t l)) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2))) (/.f64 (neg.f64 t) l)) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (neg.f64 (sqrt.f64 1/2))) (/.f64 (neg.f64 t) l)) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (neg.f64 (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (/.f64 (neg.f64 t) l)) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) t) (/.f64 1 l)) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) 1) (/.f64 t l)) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (pow.f64 (cbrt.f64 (/.f64 t l)) 2)) (cbrt.f64 (/.f64 t l))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (sqrt.f64 (/.f64 t l))) (sqrt.f64 (/.f64 t l))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t)) 1) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t))) 3) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t)) 3) 1/3) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t))) 2) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (/.f64 1/2 (pow.f64 (/.f64 t l) 2)))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t)))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t))))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t)) 3)) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 3) (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3/2))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3/2) (pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 3))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t)))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t)))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t))) 1)) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t)))) #(struct:egraph-query ((/.f64 (sqrt.f64 1/2) (/.f64 t l)) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))

simplify91.0ms (0.3%)

Algorithm
egg-herbie
Rules
966×associate-/r/
796×associate-/l/
770×unswap-sqr
534×distribute-lft-in
510×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03126610
19056358
236126068
Stop Event
node limit
Counts
146 → 150
Calls
Call 1
Inputs
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 Om 2) l)) (*.f64 (pow.f64 Omc 2) t))) (/.f64 (*.f64 (sqrt.f64 1/2) l) t))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 Om 2) l)) (*.f64 (pow.f64 Omc 2) t))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 Om 4) l)) (*.f64 (pow.f64 Omc 4) t))) (/.f64 (*.f64 (sqrt.f64 1/2) l) t)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 Om 2) l)) (*.f64 (pow.f64 Omc 2) t))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 Om 4) l)) (*.f64 (pow.f64 Omc 4) t))) (+.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (*.f64 -1/16 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 Om 6) l)) (*.f64 (pow.f64 Omc 6) t))))))
(/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 -1) (*.f64 Om l))) (*.f64 t Omc))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l Omc)) (*.f64 (sqrt.f64 -1) (*.f64 Om t)))) (/.f64 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 1/2) (*.f64 Om l))) (*.f64 Omc t)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l (pow.f64 Omc 3))) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (*.f64 (pow.f64 Om 3) t)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l Omc)) (*.f64 (sqrt.f64 -1) (*.f64 Om t)))) (/.f64 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 1/2) (*.f64 Om l))) (*.f64 Omc t))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l (pow.f64 Omc 3))) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (*.f64 (pow.f64 Om 3) t)))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l (pow.f64 Omc 5))) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (*.f64 (pow.f64 Om 5) t)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l Omc)) (*.f64 (sqrt.f64 -1) (*.f64 Om t)))) (/.f64 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 1/2) (*.f64 Om l))) (*.f64 Omc t)))))
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 1/2) (*.f64 Om l))) (*.f64 Omc t)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l Omc)) (*.f64 (sqrt.f64 -1) (*.f64 Om t)))) (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 1/2) (*.f64 Om l))) (*.f64 Omc t))))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l (pow.f64 Omc 3))) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (*.f64 (pow.f64 Om 3) t)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l Omc)) (*.f64 (sqrt.f64 -1) (*.f64 Om t)))) (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 1/2) (*.f64 Om l))) (*.f64 Omc t)))))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l (pow.f64 Omc 3))) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (*.f64 (pow.f64 Om 3) t)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l Omc)) (*.f64 (sqrt.f64 -1) (*.f64 Om t)))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l (pow.f64 Omc 5))) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (*.f64 (pow.f64 Om 5) t)))) (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 1/2) (*.f64 Om l))) (*.f64 Omc t))))))
(/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 -1) (*.f64 Om l))) (*.f64 Omc t))
(+.f64 (/.f64 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 1/2) (*.f64 Om l))) (*.f64 t Omc)) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 Omc l)) (*.f64 (sqrt.f64 -1) (*.f64 Om t)))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 Omc 3) l)) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (*.f64 (pow.f64 Om 3) t)))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 1/2) (*.f64 Om l))) (*.f64 t Omc)) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 Omc l)) (*.f64 (sqrt.f64 -1) (*.f64 Om t))))))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 Omc 5) l)) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (*.f64 (pow.f64 Om 5) t)))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 Omc 3) l)) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (*.f64 (pow.f64 Om 3) t)))) (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 1/2) (*.f64 Om l))) (*.f64 t Omc)) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 Omc l)) (*.f64 (sqrt.f64 -1) (*.f64 Om t)))))))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(+.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 Om 2) l)) (*.f64 t (pow.f64 Omc 2)))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 Om 4) l)) (*.f64 t (pow.f64 Omc 4)))) (+.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 Om 2) l)) (*.f64 t (pow.f64 Omc 2))))))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 Om 6) l)) (*.f64 t (pow.f64 Omc 6)))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 Om 4) l)) (*.f64 t (pow.f64 Omc 4)))) (+.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 Om 2) l)) (*.f64 t (pow.f64 Omc 2)))))))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(+.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 Om 2) l)) (*.f64 t (pow.f64 Omc 2)))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 Om 4) l)) (*.f64 t (pow.f64 Omc 4)))) (+.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 Om 2) l)) (*.f64 t (pow.f64 Omc 2))))))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 Om 6) l)) (*.f64 t (pow.f64 Omc 6)))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 Om 4) l)) (*.f64 t (pow.f64 Omc 4)))) (+.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 Om 2) l)) (*.f64 t (pow.f64 Omc 2)))))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(+.f64 0 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 l t))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 l t))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 l t)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 l t)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 l t)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) 1)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(*.f64 l (/.f64 (sqrt.f64 1/2) t))
(*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 1)
(*.f64 1 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) (cbrt.f64 (/.f64 1/2 (pow.f64 (/.f64 t l) 2))))
(*.f64 (cbrt.f64 (/.f64 1/2 (pow.f64 (/.f64 t l) 2))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))))
(*.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (/.f64 l t)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))))
(*.f64 (pow.f64 1/2 1/4) (*.f64 (pow.f64 1/2 1/4) (/.f64 l t)))
(*.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1 (/.f64 (neg.f64 t) l)))
(*.f64 (/.f64 l t) (sqrt.f64 1/2))
(*.f64 (/.f64 (sqrt.f64 1/2) t) l)
(*.f64 (/.f64 1 t) (/.f64 (sqrt.f64 1/2) (/.f64 1 l)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 t l)) 2)) (/.f64 (sqrt.f64 1/2) (cbrt.f64 (/.f64 t l))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 t l))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 t l))))
(*.f64 (/.f64 (cbrt.f64 1/2) t) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (/.f64 1 l)))
(*.f64 (/.f64 (cbrt.f64 1/2) 1) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (/.f64 t l)))
(*.f64 (/.f64 (cbrt.f64 1/2) (pow.f64 (cbrt.f64 (/.f64 t l)) 2)) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))))
(*.f64 (/.f64 (cbrt.f64 1/2) (sqrt.f64 (/.f64 t l))) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (sqrt.f64 (/.f64 t l))))
(*.f64 (/.f64 (pow.f64 1/2 1/4) t) (/.f64 (pow.f64 1/2 1/4) (/.f64 1 l)))
(*.f64 (/.f64 (pow.f64 1/2 1/4) 1) (/.f64 (pow.f64 1/2 1/4) (/.f64 t l)))
(*.f64 (/.f64 (pow.f64 1/2 1/4) (pow.f64 (cbrt.f64 (/.f64 t l)) 2)) (/.f64 (pow.f64 1/2 1/4) (cbrt.f64 (/.f64 t l))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) 1) l)
(*.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
(*.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (sqrt.f64 l)) (sqrt.f64 l))
(*.f64 (/.f64 (sqrt.f64 1/2) 1) (/.f64 l t))
(*.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 t)) (neg.f64 l))
(pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 2)
(pow.f64 (/.f64 t (*.f64 (sqrt.f64 1/2) l)) -1)
(neg.f64 (/.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 t) l)))
(sqrt.f64 (/.f64 1/2 (pow.f64 (/.f64 t l) 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 l t)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 3))
(cbrt.f64 (/.f64 (*.f64 1/2 (sqrt.f64 1/2)) (pow.f64 (/.f64 t l) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))))
(+.f64 0 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t)))) (cbrt.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t)))) 1)
(/.f64 1 (/.f64 (/.f64 t l) (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 t (*.f64 (sqrt.f64 1/2) l)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 t l))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2))) (/.f64 (neg.f64 t) l))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (neg.f64 (sqrt.f64 1/2))) (/.f64 (neg.f64 t) l))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (/.f64 (neg.f64 t) l))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) t) (/.f64 1 l))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) 1) (/.f64 t l))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (pow.f64 (cbrt.f64 (/.f64 t l)) 2)) (cbrt.f64 (/.f64 t l)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (sqrt.f64 (/.f64 t l))) (sqrt.f64 (/.f64 t l)))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t))) 2)
(sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (/.f64 1/2 (pow.f64 (/.f64 t l) 2))))
(log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t)) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 3) (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3/2) (pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t))))
Outputs
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 Om 2) l)) (*.f64 (pow.f64 Omc 2) t))) (/.f64 (*.f64 (sqrt.f64 1/2) l) t))
(fma.f64 -1/2 (*.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 (*.f64 l (*.f64 Om Om)) (*.f64 Omc Omc))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))
(fma.f64 (sqrt.f64 1/2) (/.f64 l t) (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l (*.f64 Om Om))) (*.f64 t (*.f64 Omc Omc)))))
(*.f64 (/.f64 (sqrt.f64 1/2) t) (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 2) l) -1/2) l))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 Om 2) l)) (*.f64 (pow.f64 Omc 2) t))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 Om 4) l)) (*.f64 (pow.f64 Omc 4) t))) (/.f64 (*.f64 (sqrt.f64 1/2) l) t)))
(fma.f64 -1/2 (*.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 (*.f64 l (*.f64 Om Om)) (*.f64 Omc Omc))) (fma.f64 -1/8 (*.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 (*.f64 l (pow.f64 Om 4)) (pow.f64 Omc 4))) (*.f64 (sqrt.f64 1/2) (/.f64 l t))))
(fma.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l (*.f64 Om Om))) (*.f64 t (*.f64 Omc Omc))) (fma.f64 (sqrt.f64 1/2) (/.f64 l t) (*.f64 -1/8 (*.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 (*.f64 l (pow.f64 Om 4)) (pow.f64 Omc 4))))))
(fma.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 (/.f64 Om Omc) 2) l)) t) (*.f64 (/.f64 (sqrt.f64 1/2) t) (+.f64 (*.f64 (*.f64 (/.f64 l (pow.f64 Omc 4)) (pow.f64 Om 4)) -1/8) l)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 Om 2) l)) (*.f64 (pow.f64 Omc 2) t))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 Om 4) l)) (*.f64 (pow.f64 Omc 4) t))) (+.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (*.f64 -1/16 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 Om 6) l)) (*.f64 (pow.f64 Omc 6) t))))))
(fma.f64 -1/2 (*.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 (*.f64 l (*.f64 Om Om)) (*.f64 Omc Omc))) (+.f64 (fma.f64 -1/8 (*.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 (*.f64 l (pow.f64 Om 4)) (pow.f64 Omc 4))) (*.f64 (sqrt.f64 1/2) (/.f64 l t))) (*.f64 -1/16 (*.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 (*.f64 l (pow.f64 Om 6)) (pow.f64 Omc 6))))))
(fma.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l (*.f64 Om Om))) (*.f64 t (*.f64 Omc Omc))) (fma.f64 -1/8 (*.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 (*.f64 l (pow.f64 Om 4)) (pow.f64 Omc 4))) (fma.f64 (sqrt.f64 1/2) (/.f64 l t) (*.f64 (/.f64 -1/16 t) (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l (pow.f64 Om 6))) (pow.f64 Omc 6))))))
(+.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (+.f64 (*.f64 (*.f64 (/.f64 l (pow.f64 Omc 4)) (pow.f64 Om 4)) -1/8) l)) (*.f64 (/.f64 (sqrt.f64 1/2) t) (+.f64 (*.f64 (*.f64 (/.f64 l (pow.f64 Omc 6)) (pow.f64 Om 6)) -1/16) (*.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 2) l) -1/2))))
(/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 -1) (*.f64 Om l))) (*.f64 t Omc))
(*.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 (*.f64 (sqrt.f64 -1) (*.f64 l Om)) Omc))
(*.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 (sqrt.f64 -1) (/.f64 Omc (*.f64 l Om))))
(/.f64 (sqrt.f64 1/2) (/.f64 (*.f64 t Omc) (*.f64 l (*.f64 Om (sqrt.f64 -1)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l Omc)) (*.f64 (sqrt.f64 -1) (*.f64 Om t)))) (/.f64 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 1/2) (*.f64 Om l))) (*.f64 Omc t)))
(fma.f64 1/2 (*.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 -1)) (/.f64 (*.f64 l Omc) (*.f64 t Om))) (*.f64 (/.f64 (sqrt.f64 -1) Omc) (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l Om)) t)))
(fma.f64 (/.f64 (sqrt.f64 -1) Omc) (/.f64 (sqrt.f64 1/2) (/.f64 t (*.f64 l Om))) (/.f64 (*.f64 1/2 (sqrt.f64 1/2)) (*.f64 (/.f64 (sqrt.f64 -1) Omc) (/.f64 (*.f64 t Om) l))))
(fma.f64 1/2 (*.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 -1)) (*.f64 (/.f64 Omc (*.f64 t Om)) l)) (/.f64 (sqrt.f64 1/2) (/.f64 (*.f64 t Omc) (*.f64 l (*.f64 Om (sqrt.f64 -1))))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l (pow.f64 Omc 3))) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (*.f64 (pow.f64 Om 3) t)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l Omc)) (*.f64 (sqrt.f64 -1) (*.f64 Om t)))) (/.f64 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 1/2) (*.f64 Om l))) (*.f64 Omc t))))
(fma.f64 -1/8 (*.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 (sqrt.f64 -1) 3)) (/.f64 (*.f64 l (pow.f64 Omc 3)) (*.f64 t (pow.f64 Om 3)))) (fma.f64 1/2 (*.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 -1)) (/.f64 (*.f64 l Omc) (*.f64 t Om))) (*.f64 (/.f64 (sqrt.f64 -1) Omc) (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l Om)) t))))
(fma.f64 -1/8 (*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 -1 (sqrt.f64 -1))) (/.f64 l (/.f64 (*.f64 t (pow.f64 Om 3)) (pow.f64 Omc 3)))) (fma.f64 (/.f64 (sqrt.f64 -1) Omc) (/.f64 (sqrt.f64 1/2) (/.f64 t (*.f64 l Om))) (/.f64 (*.f64 1/2 (sqrt.f64 1/2)) (*.f64 (/.f64 (sqrt.f64 -1) Omc) (/.f64 (*.f64 t Om) l)))))
(fma.f64 -1/8 (/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 1/2) l) (pow.f64 Omc 3)) (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 Om 3))) t) (fma.f64 1/2 (*.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 -1)) (*.f64 (/.f64 Omc (*.f64 t Om)) l)) (/.f64 (sqrt.f64 1/2) (/.f64 (*.f64 t Omc) (*.f64 l (*.f64 Om (sqrt.f64 -1)))))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l (pow.f64 Omc 3))) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (*.f64 (pow.f64 Om 3) t)))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l (pow.f64 Omc 5))) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (*.f64 (pow.f64 Om 5) t)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l Omc)) (*.f64 (sqrt.f64 -1) (*.f64 Om t)))) (/.f64 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 1/2) (*.f64 Om l))) (*.f64 Omc t)))))
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(*.f64 (/.f64 l t) (*.f64 (cbrt.f64 1/2) (cbrt.f64 (sqrt.f64 1/2))))
(*.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 (/.f64 l t) (cbrt.f64 1/2)))
(*.f64 (/.f64 (cbrt.f64 1/2) (pow.f64 (cbrt.f64 (/.f64 t l)) 2)) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) (/.f64 (cbrt.f64 1/2) (pow.f64 (cbrt.f64 (/.f64 t l)) 2)))
(*.f64 (/.f64 (cbrt.f64 1/2) (sqrt.f64 (/.f64 t l))) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (sqrt.f64 (/.f64 t l))))
(*.f64 (cbrt.f64 1/2) (*.f64 (/.f64 l t) (cbrt.f64 (sqrt.f64 1/2))))
(*.f64 (/.f64 l t) (*.f64 (cbrt.f64 1/2) (cbrt.f64 (sqrt.f64 1/2))))
(*.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 (/.f64 l t) (cbrt.f64 1/2)))
(*.f64 (/.f64 (pow.f64 1/2 1/4) t) (/.f64 (pow.f64 1/2 1/4) (/.f64 1 l)))
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(*.f64 (/.f64 (pow.f64 1/2 1/4) 1) (/.f64 (pow.f64 1/2 1/4) (/.f64 t l)))
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(*.f64 (/.f64 (pow.f64 1/2 1/4) (pow.f64 (cbrt.f64 (/.f64 t l)) 2)) (/.f64 (pow.f64 1/2 1/4) (cbrt.f64 (/.f64 t l))))
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(*.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) 1) l)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(*.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(*.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (sqrt.f64 l)) (sqrt.f64 l))
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(*.f64 (/.f64 (sqrt.f64 1/2) 1) (/.f64 l t))
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(*.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 t)) (neg.f64 l))
(*.f64 (neg.f64 (sqrt.f64 1/2)) (*.f64 (/.f64 1 (neg.f64 t)) l))
(*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l (neg.f64 t))))
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) (neg.f64 t)))
(pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 1)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 3)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 3) 1/3)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 2)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(pow.f64 (/.f64 t (*.f64 (sqrt.f64 1/2) l)) -1)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(neg.f64 (/.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 t) l)))
(*.f64 (neg.f64 (sqrt.f64 1/2)) (*.f64 (/.f64 1 (neg.f64 t)) l))
(*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l (neg.f64 t))))
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) (neg.f64 t)))
(sqrt.f64 (/.f64 1/2 (pow.f64 (/.f64 t l) 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 l t)))
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))))
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 3))
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(cbrt.f64 (/.f64 (*.f64 1/2 (sqrt.f64 1/2)) (pow.f64 (/.f64 t l) 3)))
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))))
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))))
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 1))
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))))
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(+.f64 0 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t)))
(*.f64 (/.f64 l t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t)))) (cbrt.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (/.f64 l t))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (/.f64 l t))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (/.f64 l t)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (/.f64 l t))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (/.f64 l t)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (/.f64 l t)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t))))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (/.f64 l t)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t)))) 1)
(*.f64 (/.f64 l t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))
(/.f64 1 (/.f64 (/.f64 t l) (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2))))
(*.f64 (/.f64 l t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 t (*.f64 (sqrt.f64 1/2) l)))
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))
(*.f64 (*.f64 (sqrt.f64 1/2) l) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) t))
(/.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 t l))
(*.f64 (/.f64 l t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2))) (/.f64 (neg.f64 t) l))
(*.f64 (/.f64 l t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (neg.f64 (sqrt.f64 1/2))) (/.f64 (neg.f64 t) l))
(*.f64 (/.f64 (*.f64 (neg.f64 (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (neg.f64 t)) l)
(*.f64 l (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 (neg.f64 t) (neg.f64 (sqrt.f64 1/2)))))
(*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) (neg.f64 t))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (/.f64 (neg.f64 t) l))
(*.f64 (/.f64 (*.f64 (neg.f64 (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (neg.f64 t)) l)
(*.f64 l (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 (neg.f64 t) (neg.f64 (sqrt.f64 1/2)))))
(*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) (neg.f64 t))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) t) (/.f64 1 l))
(*.f64 (/.f64 l t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) 1) (/.f64 t l))
(*.f64 (/.f64 l t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (pow.f64 (cbrt.f64 (/.f64 t l)) 2)) (cbrt.f64 (/.f64 t l)))
(*.f64 (/.f64 l t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (sqrt.f64 (/.f64 t l))) (sqrt.f64 (/.f64 t l)))
(*.f64 (/.f64 l t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t)) 1)
(*.f64 (/.f64 l t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t))) 3)
(*.f64 (/.f64 l t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t)) 3) 1/3)
(*.f64 (/.f64 l t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t))) 2)
(*.f64 (/.f64 l t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))
(sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (/.f64 1/2 (pow.f64 (/.f64 t l) 2))))
(sqrt.f64 (*.f64 (/.f64 1/2 (pow.f64 (/.f64 t l) 2)) (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(sqrt.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (pow.f64 (/.f64 t l) 2)) 1/2))
(log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t))))
(*.f64 (/.f64 l t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t)))))
(*.f64 (/.f64 l t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t)) 3))
(*.f64 (/.f64 l t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 3) (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3/2) (pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 3) (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3/2)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t))))
(*.f64 (/.f64 l t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t))))
(*.f64 (/.f64 l t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t))) 1))
(*.f64 (/.f64 l t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) (/.f64 l t))))
(*.f64 (/.f64 l t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))

localize35.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))
99.7%
(/.f64 l (/.f64 t (sqrt.f64 1/2)))
99.7%
(pow.f64 (/.f64 Om Omc) 2)
99.3%
(/.f64 t (sqrt.f64 1/2))
Compiler

Compiled 86 to 56 computations (34.9% saved)

series2.0ms (0%)

Counts
3 → 48
Calls

15 calls:

TimeVariablePointExpression
0.0ms
t
@inf
(/.f64 t (sqrt.f64 1/2))
0.0ms
t
@0
(/.f64 t (sqrt.f64 1/2))
0.0ms
t
@-inf
(/.f64 t (sqrt.f64 1/2))
0.0ms
Omc
@0
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))
0.0ms
Om
@-inf
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))

rewrite117.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1684×log-prod
608×expm1-udef
604×log1p-udef
500×prod-diff
382×log-div
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01751
136151
2456651
Stop Event
node limit
Counts
3 → 111
Calls
Call 1
Inputs
(/.f64 t (sqrt.f64 1/2))
(/.f64 l (/.f64 t (sqrt.f64 1/2)))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))
Outputs
(((+.f64 0 (/.f64 t (sqrt.f64 1/2))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 t (sqrt.f64 1/2)))) (cbrt.f64 (exp.f64 (/.f64 t (sqrt.f64 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 t (sqrt.f64 1/2)))))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 t (sqrt.f64 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 t (sqrt.f64 1/2)))))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (exp.f64 (log1p.f64 (/.f64 t (sqrt.f64 1/2)))) 1) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 t (pow.f64 1/2 -1/2)) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 t (sqrt.f64 1/2)) 1) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (/.f64 t (sqrt.f64 1/2))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 t) 2) (*.f64 (cbrt.f64 t) (pow.f64 1/2 -1/2))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (/.f64 t (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (*.f64 t t) 1/2))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (/.f64 (*.f64 t t) 1/2)) (cbrt.f64 (/.f64 t (sqrt.f64 1/2)))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) (pow.f64 1/2 -1/2))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (/.f64 t (sqrt.f64 1/2)))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (neg.f64 t) (/.f64 1 (neg.f64 (sqrt.f64 1/2)))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 1/2 -1/2) t) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 1 (cbrt.f64 1/2)) (/.f64 t (cbrt.f64 (sqrt.f64 1/2)))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 1 (pow.f64 1/2 1/4)) (/.f64 t (pow.f64 1/2 1/4))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) 1) (/.f64 (cbrt.f64 t) (sqrt.f64 1/2))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 t (sqrt.f64 1/2)))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (pow.f64 1/2 1/4)) (/.f64 (cbrt.f64 t) (pow.f64 1/2 1/4))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 t) 1) (/.f64 (sqrt.f64 t) (sqrt.f64 1/2))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 t) (cbrt.f64 1/2)) (/.f64 (sqrt.f64 t) (cbrt.f64 (sqrt.f64 1/2)))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 t (sqrt.f64 1/2)) 1) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (/.f64 t (sqrt.f64 1/2))) 3) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (/.f64 t (sqrt.f64 1/2)) 3) 1/3) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (sqrt.f64 (/.f64 t (sqrt.f64 1/2))) 2) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 (sqrt.f64 1/2) t) -1) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((neg.f64 (/.f64 t (neg.f64 (sqrt.f64 1/2)))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (/.f64 (*.f64 t t) 1/2)) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (/.f64 t (sqrt.f64 1/2)))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (/.f64 t (sqrt.f64 1/2))))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (/.f64 t (sqrt.f64 1/2)) 3)) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (/.f64 (pow.f64 t 3) (*.f64 1/2 (sqrt.f64 1/2)))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (/.f64 t (sqrt.f64 1/2)))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (/.f64 t (sqrt.f64 1/2)))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (/.f64 t (sqrt.f64 1/2))) 1)) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (/.f64 t (sqrt.f64 1/2)))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))
(((+.f64 0 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 l) (/.f64 (sqrt.f64 1/2) t))) (cbrt.f64 (pow.f64 (exp.f64 l) (/.f64 (sqrt.f64 1/2) t))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 l) (/.f64 (sqrt.f64 1/2) t))))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 l) (/.f64 (sqrt.f64 1/2) t)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 l) (/.f64 (sqrt.f64 1/2) t))))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) 1) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 1/2) (/.f64 l t)) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 l (/.f64 (sqrt.f64 1/2) t)) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 1) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 2))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 2)) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (*.f64 l l)) (*.f64 (cbrt.f64 l) (/.f64 (sqrt.f64 1/2) t))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) (/.f64 (sqrt.f64 1/2) t))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (neg.f64 l) (/.f64 1 (/.f64 (neg.f64 t) (sqrt.f64 1/2)))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 1/2) t) l) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 l t) (sqrt.f64 1/2)) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (cbrt.f64 (*.f64 l l)) 1) (/.f64 (cbrt.f64 l) (/.f64 t (sqrt.f64 1/2)))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 l) 1) (/.f64 (sqrt.f64 l) (/.f64 t (sqrt.f64 1/2)))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 l) t) (/.f64 (sqrt.f64 l) (pow.f64 1/2 -1/2))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 1 t) (/.f64 l (pow.f64 1/2 -1/2))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 1 (cbrt.f64 (/.f64 (*.f64 t t) 1/2))) (/.f64 l (cbrt.f64 (/.f64 t (sqrt.f64 1/2))))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 1 (sqrt.f64 (/.f64 t (sqrt.f64 1/2)))) (/.f64 l (sqrt.f64 (/.f64 t (sqrt.f64 1/2))))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (cbrt.f64 (*.f64 l l)) t) (/.f64 (cbrt.f64 l) (pow.f64 1/2 -1/2))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (cbrt.f64 (*.f64 l l)) (cbrt.f64 (/.f64 (*.f64 t t) 1/2))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (cbrt.f64 (*.f64 l l)) (sqrt.f64 (/.f64 t (sqrt.f64 1/2)))) (/.f64 (cbrt.f64 l) (sqrt.f64 (/.f64 t (sqrt.f64 1/2))))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 l) (cbrt.f64 (/.f64 (*.f64 t t) 1/2))) (/.f64 (sqrt.f64 l) (cbrt.f64 (/.f64 t (sqrt.f64 1/2))))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (/.f64 l t) 1) (sqrt.f64 1/2)) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (/.f64 l t) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (/.f64 l t) (pow.f64 1/2 1/4)) (pow.f64 1/2 1/4)) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 l 1) (/.f64 (sqrt.f64 1/2) t)) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 l (neg.f64 t)) (neg.f64 (sqrt.f64 1/2))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 1) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 3) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 3) 1/3) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 2) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 t (*.f64 l (sqrt.f64 1/2))) -1) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((neg.f64 (/.f64 l (/.f64 (neg.f64 t) (sqrt.f64 1/2)))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 2)) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (pow.f64 (exp.f64 l) (/.f64 (sqrt.f64 1/2) t))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 3)) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (/.f64 (pow.f64 l 3) (pow.f64 (/.f64 t (sqrt.f64 1/2)) 3))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 1)) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))
(((+.f64 0 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 1) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 1) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4)) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 2)) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 1/2)) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 6))) (hypot.f64 1 (hypot.f64 (/.f64 Om Omc) (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 4))) (hypot.f64 1 (/.f64 Om Omc))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 1) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 3) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3/2) 1/3) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) 2) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3/2)) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((hypot.f64 1 (sqrt.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) 1/2)) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2)))) 1)) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) #(struct:egraph-query ((/.f64 t (sqrt.f64 1/2)) (/.f64 l (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))

simplify82.0ms (0.3%)

Algorithm
egg-herbie
Rules
1266×fma-def
928×unswap-sqr
596×associate-/r/
474×distribute-lft-in
460×associate-/l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03374531
17724281
225614155
Stop Event
node limit
Counts
159 → 182
Calls
Call 1
Inputs
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)))))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))) (*.f64 -1/16 (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6))))))
(/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)
(+.f64 (*.f64 1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))
(+.f64 (*.f64 1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)))
(+.f64 (*.f64 1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5)))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))))
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))
(+.f64 (*.f64 -1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)))
(+.f64 (*.f64 -1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))))
(+.f64 (*.f64 -1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5)))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)))))
(/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)
(+.f64 (*.f64 1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))
(+.f64 (*.f64 1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)))
(+.f64 (*.f64 1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5)))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)))))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))) (*.f64 -1/16 (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6))))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)))))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))) (*.f64 -1/16 (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6))))))
(+.f64 0 (/.f64 t (sqrt.f64 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 t (sqrt.f64 1/2)))) (cbrt.f64 (exp.f64 (/.f64 t (sqrt.f64 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 t (sqrt.f64 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 t (sqrt.f64 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 t (sqrt.f64 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 t (sqrt.f64 1/2)))) 1)
(*.f64 t (pow.f64 1/2 -1/2))
(*.f64 (/.f64 t (sqrt.f64 1/2)) 1)
(*.f64 1 (/.f64 t (sqrt.f64 1/2)))
(*.f64 (pow.f64 (cbrt.f64 t) 2) (*.f64 (cbrt.f64 t) (pow.f64 1/2 -1/2)))
(*.f64 (cbrt.f64 (/.f64 t (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (*.f64 t t) 1/2)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 t t) 1/2)) (cbrt.f64 (/.f64 t (sqrt.f64 1/2))))
(*.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) (pow.f64 1/2 -1/2)))
(*.f64 (sqrt.f64 (/.f64 t (sqrt.f64 1/2))) (sqrt.f64 (/.f64 t (sqrt.f64 1/2))))
(*.f64 (neg.f64 t) (/.f64 1 (neg.f64 (sqrt.f64 1/2))))
(*.f64 (pow.f64 1/2 -1/2) t)
(*.f64 (/.f64 1 (cbrt.f64 1/2)) (/.f64 t (cbrt.f64 (sqrt.f64 1/2))))
(*.f64 (/.f64 1 (pow.f64 1/2 1/4)) (/.f64 t (pow.f64 1/2 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) 1) (/.f64 (cbrt.f64 t) (sqrt.f64 1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 t (sqrt.f64 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (pow.f64 1/2 1/4)) (/.f64 (cbrt.f64 t) (pow.f64 1/2 1/4)))
(*.f64 (/.f64 (sqrt.f64 t) 1) (/.f64 (sqrt.f64 t) (sqrt.f64 1/2)))
(*.f64 (/.f64 (sqrt.f64 t) (cbrt.f64 1/2)) (/.f64 (sqrt.f64 t) (cbrt.f64 (sqrt.f64 1/2))))
(pow.f64 (/.f64 t (sqrt.f64 1/2)) 1)
(pow.f64 (cbrt.f64 (/.f64 t (sqrt.f64 1/2))) 3)
(pow.f64 (pow.f64 (/.f64 t (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 t (sqrt.f64 1/2))) 2)
(pow.f64 (/.f64 (sqrt.f64 1/2) t) -1)
(neg.f64 (/.f64 t (neg.f64 (sqrt.f64 1/2))))
(sqrt.f64 (/.f64 (*.f64 t t) 1/2))
(log.f64 (exp.f64 (/.f64 t (sqrt.f64 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 t (sqrt.f64 1/2)))))
(cbrt.f64 (pow.f64 (/.f64 t (sqrt.f64 1/2)) 3))
(cbrt.f64 (/.f64 (pow.f64 t 3) (*.f64 1/2 (sqrt.f64 1/2))))
(expm1.f64 (log1p.f64 (/.f64 t (sqrt.f64 1/2))))
(exp.f64 (log.f64 (/.f64 t (sqrt.f64 1/2))))
(exp.f64 (*.f64 (log.f64 (/.f64 t (sqrt.f64 1/2))) 1))
(log1p.f64 (expm1.f64 (/.f64 t (sqrt.f64 1/2))))
(+.f64 0 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 l) (/.f64 (sqrt.f64 1/2) t))) (cbrt.f64 (pow.f64 (exp.f64 l) (/.f64 (sqrt.f64 1/2) t))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 l) (/.f64 (sqrt.f64 1/2) t)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 l) (/.f64 (sqrt.f64 1/2) t)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 l) (/.f64 (sqrt.f64 1/2) t)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) 1)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(*.f64 l (/.f64 (sqrt.f64 1/2) t))
(*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 1)
(*.f64 1 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 2)) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))))
(*.f64 (cbrt.f64 (*.f64 l l)) (*.f64 (cbrt.f64 l) (/.f64 (sqrt.f64 1/2) t)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))))
(*.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) (/.f64 (sqrt.f64 1/2) t)))
(*.f64 (neg.f64 l) (/.f64 1 (/.f64 (neg.f64 t) (sqrt.f64 1/2))))
(*.f64 (/.f64 (sqrt.f64 1/2) t) l)
(*.f64 (/.f64 l t) (sqrt.f64 1/2))
(*.f64 (/.f64 (cbrt.f64 (*.f64 l l)) 1) (/.f64 (cbrt.f64 l) (/.f64 t (sqrt.f64 1/2))))
(*.f64 (/.f64 (sqrt.f64 l) 1) (/.f64 (sqrt.f64 l) (/.f64 t (sqrt.f64 1/2))))
(*.f64 (/.f64 (sqrt.f64 l) t) (/.f64 (sqrt.f64 l) (pow.f64 1/2 -1/2)))
(*.f64 (/.f64 1 t) (/.f64 l (pow.f64 1/2 -1/2)))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 (*.f64 t t) 1/2))) (/.f64 l (cbrt.f64 (/.f64 t (sqrt.f64 1/2)))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 t (sqrt.f64 1/2)))) (/.f64 l (sqrt.f64 (/.f64 t (sqrt.f64 1/2)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 l l)) t) (/.f64 (cbrt.f64 l) (pow.f64 1/2 -1/2)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 l l)) (cbrt.f64 (/.f64 (*.f64 t t) 1/2))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 l l)) (sqrt.f64 (/.f64 t (sqrt.f64 1/2)))) (/.f64 (cbrt.f64 l) (sqrt.f64 (/.f64 t (sqrt.f64 1/2)))))
(*.f64 (/.f64 (sqrt.f64 l) (cbrt.f64 (/.f64 (*.f64 t t) 1/2))) (/.f64 (sqrt.f64 l) (cbrt.f64 (/.f64 t (sqrt.f64 1/2)))))
(*.f64 (*.f64 (/.f64 l t) 1) (sqrt.f64 1/2))
(*.f64 (*.f64 (/.f64 l t) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)))
(*.f64 (*.f64 (/.f64 l t) (pow.f64 1/2 1/4)) (pow.f64 1/2 1/4))
(*.f64 (/.f64 l 1) (/.f64 (sqrt.f64 1/2) t))
(*.f64 (/.f64 l (neg.f64 t)) (neg.f64 (sqrt.f64 1/2)))
(pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 2)
(pow.f64 (/.f64 t (*.f64 l (sqrt.f64 1/2))) -1)
(neg.f64 (/.f64 l (/.f64 (neg.f64 t) (sqrt.f64 1/2))))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 2))
(log.f64 (pow.f64 (exp.f64 l) (/.f64 (sqrt.f64 1/2) t)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 3))
(cbrt.f64 (/.f64 (pow.f64 l 3) (pow.f64 (/.f64 t (sqrt.f64 1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))))
(+.f64 0 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 1)
(*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 2)) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 1/2))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 6))) (hypot.f64 1 (hypot.f64 (/.f64 Om Omc) (pow.f64 (/.f64 Om Omc) 2))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 4))) (hypot.f64 1 (/.f64 Om Omc)))
(pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3/2) 1/3)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) 2)
(fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(hypot.f64 1 (sqrt.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))))
(exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
Outputs
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(/.f64 (*.f64 (sqrt.f64 1/2) l) t)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))
(+.f64 1 (*.f64 -1/2 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))
(fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)))))
(+.f64 1 (fma.f64 -1/2 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) (*.f64 -1/8 (pow.f64 (/.f64 Om Omc) 4))))
(fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 -1/8 (pow.f64 (/.f64 Om Omc) 4) 1))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))) (*.f64 -1/16 (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6))))))
(+.f64 1 (fma.f64 -1/2 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (fma.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)) (*.f64 -1/16 (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6))))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 -1/8 (pow.f64 (/.f64 Om Omc) 4) (*.f64 -1/16 (pow.f64 (/.f64 Om Omc) 6)))))
(+.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1) (fma.f64 -1/8 (pow.f64 (/.f64 Om Omc) 4) (*.f64 -1/16 (pow.f64 (/.f64 Om Omc) 6))))
(/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)
(/.f64 (sqrt.f64 -1) (/.f64 Omc Om))
(*.f64 (/.f64 (sqrt.f64 -1) Omc) Om)
(*.f64 (/.f64 Om Omc) (sqrt.f64 -1))
(+.f64 (*.f64 1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))
(fma.f64 1/2 (/.f64 Omc (*.f64 Om (sqrt.f64 -1))) (/.f64 (sqrt.f64 -1) (/.f64 Omc Om)))
(fma.f64 1/2 (/.f64 Omc (*.f64 Om (sqrt.f64 -1))) (*.f64 (/.f64 (sqrt.f64 -1) Omc) Om))
(fma.f64 1/2 (/.f64 Omc (*.f64 Om (sqrt.f64 -1))) (*.f64 (/.f64 Om Omc) (sqrt.f64 -1)))
(+.f64 (*.f64 1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)))
(fma.f64 1/2 (/.f64 Omc (*.f64 Om (sqrt.f64 -1))) (fma.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) (/.f64 (sqrt.f64 -1) (/.f64 Omc Om))))
(fma.f64 1/2 (/.f64 Omc (*.f64 Om (sqrt.f64 -1))) (fma.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (*.f64 -1 (sqrt.f64 -1)) (pow.f64 Om 3))) (*.f64 (/.f64 (sqrt.f64 -1) Omc) Om)))
(fma.f64 1/2 (/.f64 Omc (*.f64 Om (sqrt.f64 -1))) (fma.f64 (/.f64 -1/8 (neg.f64 (sqrt.f64 -1))) (/.f64 (pow.f64 Omc 3) (pow.f64 Om 3)) (*.f64 (/.f64 Om Omc) (sqrt.f64 -1))))
(+.f64 (*.f64 1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5)))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))))
(fma.f64 1/2 (/.f64 Omc (*.f64 Om (sqrt.f64 -1))) (fma.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) (fma.f64 1/16 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5))) (/.f64 (sqrt.f64 -1) (/.f64 Omc Om)))))
(fma.f64 1/2 (/.f64 Omc (*.f64 Om (sqrt.f64 -1))) (fma.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (*.f64 -1 (sqrt.f64 -1)) (pow.f64 Om 3))) (fma.f64 1/16 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5))) (*.f64 (/.f64 (sqrt.f64 -1) Omc) Om))))
(fma.f64 1/2 (/.f64 Omc (*.f64 Om (sqrt.f64 -1))) (fma.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 Omc 5) (pow.f64 Om 5)) (fma.f64 (/.f64 -1/8 (neg.f64 (sqrt.f64 -1))) (/.f64 (pow.f64 Omc 3) (pow.f64 Om 3)) (*.f64 (/.f64 Om Omc) (sqrt.f64 -1)))))
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))
(neg.f64 (/.f64 (sqrt.f64 -1) (/.f64 Omc Om)))
(/.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 Omc Om))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 -1)) Omc) Om)
(+.f64 (*.f64 -1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)))
(fma.f64 -1/2 (/.f64 Omc (*.f64 Om (sqrt.f64 -1))) (neg.f64 (/.f64 (sqrt.f64 -1) (/.f64 Omc Om))))
(-.f64 (*.f64 (/.f64 -1/2 Om) (/.f64 Omc (sqrt.f64 -1))) (*.f64 (/.f64 (sqrt.f64 -1) Omc) Om))
(-.f64 (*.f64 (/.f64 -1/2 Om) (/.f64 Omc (sqrt.f64 -1))) (*.f64 (/.f64 Om Omc) (sqrt.f64 -1)))
(+.f64 (*.f64 -1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))))
(fma.f64 -1/2 (/.f64 Omc (*.f64 Om (sqrt.f64 -1))) (fma.f64 1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) (neg.f64 (/.f64 (sqrt.f64 -1) (/.f64 Omc Om)))))
(-.f64 (fma.f64 -1/2 (/.f64 Omc (*.f64 Om (sqrt.f64 -1))) (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (*.f64 -1 (sqrt.f64 -1)) (pow.f64 Om 3))) 1/8)) (*.f64 (/.f64 (sqrt.f64 -1) Omc) Om))
(-.f64 (fma.f64 (/.f64 -1/2 Om) (/.f64 Omc (sqrt.f64 -1)) (*.f64 (/.f64 1/8 (*.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 Om 3)))) (pow.f64 Omc 3))) (*.f64 (/.f64 Om Omc) (sqrt.f64 -1)))
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(*.f64 (/.f64 Om Omc) (sqrt.f64 -1))
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1
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1
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(*.f64 (/.f64 (cbrt.f64 (*.f64 l l)) (sqrt.f64 (/.f64 t (sqrt.f64 1/2)))) (/.f64 (cbrt.f64 l) (sqrt.f64 (/.f64 t (sqrt.f64 1/2)))))
(*.f64 (cbrt.f64 (*.f64 l l)) (*.f64 (/.f64 (sqrt.f64 1/2) t) (cbrt.f64 l)))
(*.f64 (/.f64 (sqrt.f64 1/2) t) (*.f64 (cbrt.f64 (*.f64 l l)) (cbrt.f64 l)))
(*.f64 (/.f64 (sqrt.f64 l) (cbrt.f64 (/.f64 (*.f64 t t) 1/2))) (/.f64 (sqrt.f64 l) (cbrt.f64 (/.f64 t (sqrt.f64 1/2)))))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 t (/.f64 1/2 t)))) (/.f64 l (cbrt.f64 (/.f64 t (sqrt.f64 1/2)))))
(/.f64 (/.f64 l (cbrt.f64 (/.f64 t (sqrt.f64 1/2)))) (cbrt.f64 (/.f64 t (/.f64 1/2 t))))
(/.f64 (/.f64 l (cbrt.f64 (/.f64 t (/.f64 1/2 t)))) (cbrt.f64 (/.f64 t (sqrt.f64 1/2))))
(*.f64 (*.f64 (/.f64 l t) 1) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(*.f64 (*.f64 (/.f64 l t) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)))
(*.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 (cbrt.f64 1/2) (/.f64 l t)))
(*.f64 (cbrt.f64 1/2) (*.f64 (/.f64 l t) (cbrt.f64 (sqrt.f64 1/2))))
(*.f64 (*.f64 (/.f64 l t) (pow.f64 1/2 1/4)) (pow.f64 1/2 1/4))
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(*.f64 (/.f64 l 1) (/.f64 (sqrt.f64 1/2) t))
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(*.f64 (/.f64 l (neg.f64 t)) (neg.f64 (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 1)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 3)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 3) 1/3)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 2)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(pow.f64 (/.f64 t (*.f64 l (sqrt.f64 1/2))) -1)
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(neg.f64 (/.f64 l (/.f64 (neg.f64 t) (sqrt.f64 1/2))))
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 2))
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(log.f64 (pow.f64 (exp.f64 l) (/.f64 (sqrt.f64 1/2) t)))
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))))
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 3))
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(cbrt.f64 (/.f64 (pow.f64 l 3) (pow.f64 (/.f64 t (sqrt.f64 1/2)) 3)))
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))))
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))))
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 1))
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))))
(*.f64 (sqrt.f64 1/2) (/.f64 l t))
(+.f64 0 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 1)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))
(*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 1)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 2)) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 6))) (hypot.f64 1 (hypot.f64 (/.f64 Om Omc) (pow.f64 (/.f64 Om Omc) 2))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 4))) (hypot.f64 1 (/.f64 Om Omc)))
(pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 1)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 3)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3/2))
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/4) 2)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))
(fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))
(hypot.f64 1 (sqrt.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))))
(exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2)))))
(pow.f64 (exp.f64 1/2) (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))))
(sqrt.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) 1/2))
(pow.f64 (exp.f64 1/2) (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))))
(sqrt.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2)))))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2)))) 1))
(pow.f64 (exp.f64 1/2) (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))))
(sqrt.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))

localize48.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.3%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
98.8%
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)
86.7%
(cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
83.9%
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
Compiler

Compiled 133 to 83 computations (37.6% saved)

series45.0ms (0.2%)

Counts
2 → 96
Calls

24 calls:

TimeVariablePointExpression
19.0ms
l
@0
(cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
2.0ms
Om
@-inf
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)
2.0ms
Om
@0
(cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
2.0ms
l
@inf
(cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
2.0ms
Omc
@-inf
(cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))

rewrite119.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
764×expm1-udef
762×log1p-udef
706×prod-diff
450×add-sqr-sqrt
440×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022110
1474110
25725110
Stop Event
node limit
Counts
2 → 61
Calls
Call 1
Inputs
(cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)
Outputs
(((-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) 1) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) 2)) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2) 1/3)) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) 2) (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/6) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/6)) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 1 1/3) (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1/3) (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1/3)) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/3) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) 3) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/6) 2) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2)) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))))) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1/3)) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) 1)) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))
(((+.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) 1) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2)) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2))) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/6) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/6) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2))) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) 2) 3) (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/6) 3) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/6) 3)) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2) 1) (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) 2)) (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/6)) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/6)) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3)) (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (fma.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))))) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 2)) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3)) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1)) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))

simplify135.0ms (0.5%)

Algorithm
egg-herbie
Rules
990×unswap-sqr
872×log-prod
854×exp-prod
788×cube-prod
710×fma-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01559113
13439051
29969051
344698993
Stop Event
node limit
Counts
157 → 68
Calls
Call 1
Inputs
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/3)
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/3)
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(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) 1)
(*.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1)
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/6) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/6) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2)))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) 2) 3) (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(*.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/6) 3) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/6) 3))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2) 1) (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) 2)) (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/6)) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/6))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3)) (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (fma.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 2))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
Outputs
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/3)
(cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/3)
(cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/3)
(cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/3)
(cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/3)
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(cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
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(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
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(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
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(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
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(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
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(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
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(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
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(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) 1)
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(*.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1)
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(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
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(*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/6)) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/6))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3)) (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (fma.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (fma.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (PI.f64) 1/2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3)) (fma.f64 (PI.f64) (*.f64 1/4 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3)) (fma.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4)))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 2))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))

eval758.0ms (2.7%)

Compiler

Compiled 39190 to 27337 computations (30.2% saved)

prune427.0ms (1.5%)

Pruning

32 alts after pruning (30 fresh and 2 done)

PrunedKeptTotal
New1042161058
Fresh71421
Picked101
Done325
Total1053321085
Accurracy
99.3%
Counts
1085 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.1%
(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1/6) 4) 3)
79.0%
(pow.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/6) 2) 3)
79.2%
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) 3) 3)
97.8%
(pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)
80.7%
(pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) 3)
79.8%
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)
48.9%
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 3)
41.7%
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))) 3)
50.4%
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)
49.6%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))
81.0%
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)))
50.4%
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
50.0%
(asin.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1))
43.0%
(asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)))
32.0%
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 l (/.f64 t (sqrt.f64 1/2)))))
32.0%
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 l (*.f64 (sqrt.f64 2) t))))
33.1%
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (neg.f64 (/.f64 (/.f64 l t) (pow.f64 1/2 -1/2)))))
27.6%
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l))))
27.6%
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 l (*.f64 (sqrt.f64 2) t))))
33.1%
(asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2))))))
81.0%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (*.f64 (/.f64 t l) t) l))))))
79.5%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))))
82.5%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))))
71.3%
(asin.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (/.f64 2 l) (/.f64 (*.f64 t t) l))))))
50.4%
(asin.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
21.0%
(asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (*.f64 l l) (/.f64 (*.f64 t t) (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))))
33.0%
(asin.f64 (neg.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) t) (/.f64 1 l))))
33.0%
(asin.f64 (neg.f64 (*.f64 (/.f64 l t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))
29.8%
(asin.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 l (*.f64 (sqrt.f64 2) t)))))
33.0%
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))
32.8%
(asin.f64 (neg.f64 (*.f64 1 (/.f64 (sqrt.f64 1/2) (/.f64 t l)))))
49.5%
(asin.f64 1)
Compiler

Compiled 1283 to 1037 computations (19.2% saved)

localize46.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.4%
(*.f64 (/.f64 t l) (sqrt.f64 2))
99.3%
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))
99.0%
(pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)
87.2%
(sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))
Compiler

Compiled 127 to 80 computations (37% saved)

series9.0ms (0%)

Counts
2 → 96
Calls

24 calls:

TimeVariablePointExpression
1.0ms
Om
@inf
(pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)
0.0ms
Om
@-inf
(pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)
0.0ms
Omc
@-inf
(pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)
0.0ms
Om
@0
(pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)
0.0ms
Omc
@inf
(pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)

rewrite130.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
732×expm1-udef
730×log1p-udef
606×prod-diff
426×add-sqr-sqrt
422×pow1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021114
1448114
25413110
Stop Event
node limit
Counts
2 → 60
Calls
Call 1
Inputs
(sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))
(pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)
Outputs
(((-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) 1) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/4) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/4)) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2)) (sqrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 1 1/2) (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1/2)) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/2) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) 3) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3/2) 1/3) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/4) 2) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fabs.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3/2)) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1/2)) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) 1)) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))
(((+.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) 1) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2)) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/4) (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/4)) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/4)) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3)) (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (fma.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((neg.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (neg.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 2)) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3)) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1)) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) #(struct:egraph-query ((sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))

simplify206.0ms (0.7%)

Algorithm
egg-herbie
Rules
936×associate-+r+
752×unswap-sqr
662×fma-def
412×exp-prod
412×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
016713412
135712774
210609134
344609134
Stop Event
node limit
Counts
156 → 72
Calls
Call 1
Inputs
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
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(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
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(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
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(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
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(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
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(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) 1)
(*.f64 1 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
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(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/4) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2)) (sqrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1/2))
(pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/2)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3/2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/4) 2)
(fabs.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(log.f64 (exp.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))
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(exp.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))))
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(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
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(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) 1)
(*.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1)
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2))
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/4) (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))))
(*.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/4)) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/4))
(*.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3)) (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (fma.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(neg.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (neg.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))))
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 2))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
Outputs
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) l))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (asin.f64 (*.f64 (/.f64 1 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
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(+.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3)) (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (fma.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (fma.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (*.f64 1/2 (PI.f64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3)) (fma.f64 (PI.f64) (*.f64 1/4 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3)) (fma.f64 1/4 (*.f64 (PI.f64) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(neg.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (neg.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))))
(neg.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (neg.f64 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l)))))))
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 2))
(+.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(+.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))))
(+.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3))
(+.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(+.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(+.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1))
(+.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(+.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(+.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))

localize18.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
100.0%
(*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)
99.4%
(asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)))
76.7%
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
Compiler

Compiled 53 to 20 computations (62.3% saved)

series2.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
Om
@inf
(*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)
0.0ms
Om
@0
(*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)
0.0ms
Omc
@0
(*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)
0.0ms
Omc
@inf
(*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)
0.0ms
Om
@0
(asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)))

rewrite129.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1288×log-prod
870×prod-diff
618×pow-prod-up
582×pow-exp
568×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01360
127744
2364944
Stop Event
node limit
Counts
2 → 86
Calls
Call 1
Inputs
(asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)))
(*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)
Outputs
(((+.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) (sqrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 0 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 1))) (fma.f64 (neg.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) 1 (*.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 1))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))))))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 1))) (fma.f64 (neg.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) 1 (*.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 1))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))))))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 1))) (fma.f64 (neg.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) 1 (*.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 1))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))))))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 1))) (fma.f64 (neg.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) 1 (*.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 1))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))))))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) (cbrt.f64 (exp.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))))) (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))))) (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (exp.f64 (log1p.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) 1) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 1) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (pow.f64 (cbrt.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) 2)) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) 2) (cbrt.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (sqrt.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 1) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) 3) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 3) 1/3) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (sqrt.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) 2) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (pow.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 2)) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 3)) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) 1)) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) 1) 1)) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) 3)) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 3)) 1/3)) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) 2)) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))
(((+.f64 0 (*.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2)) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)) -1/2)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)) -1/2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)) -1/2)))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)) -1/2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)) -1/2)))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1) 1) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 1 (/.f64 (*.f64 Omc Omc) (*.f64 Om (*.f64 Om -1/2)))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 Om Om) (/.f64 (*.f64 Omc Omc) -1/2)) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 -1/2 (*.f64 (/.f64 Omc Om) (/.f64 Omc Om))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 Om (*.f64 Om -1/2)) (*.f64 Omc Omc)) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (neg.f64 (*.f64 Om (*.f64 Om -1/2))) (*.f64 Omc (neg.f64 Omc))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 -1/2 Om) (/.f64 Omc (/.f64 Om Omc))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 -1/2 (*.f64 Om (neg.f64 Om))) (*.f64 Omc (neg.f64 Omc))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 -1/2 (/.f64 (*.f64 Om Om) Omc)) Omc) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (*.f64 Om (neg.f64 Om)) -1/2) (*.f64 Omc (neg.f64 Omc))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (/.f64 (*.f64 Om Om) Omc) -1/2) Omc) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (/.f64 (*.f64 Om (*.f64 Om -1/2)) 1) (*.f64 Omc Omc)) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (/.f64 (*.f64 Om (*.f64 Om -1/2)) Omc) Omc) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (/.f64 (*.f64 Om (*.f64 Om -1/2)) (cbrt.f64 (pow.f64 Omc 4))) (pow.f64 (cbrt.f64 Omc) 2)) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2) 1) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2)) 3) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (*.f64 (/.f64 Om Omc) (sqrt.f64 -1/2)) 6) 1/3) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (*.f64 (/.f64 Om Omc) (sqrt.f64 -1/2)) 2) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 (*.f64 Omc Omc) (*.f64 Om (*.f64 Om -1/2))) -1) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 4) 1/4)) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)) -1/2)) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2)))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (*.f64 (/.f64 Om Omc) (sqrt.f64 -1/2)) 6)) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (*.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2)) 1)) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2)) 1)) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2)) 1) 1)) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2))) 3)) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 Om Omc) (sqrt.f64 -1/2)) 6)) 1/3)) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2)) 3) 1/3)) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 Om Omc) (sqrt.f64 -1/2))) 2)) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2))) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 1 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1) -1) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1) 1 -1) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 2) -1) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 2) (cbrt.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) -1) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (hypot.f64 1 (*.f64 (/.f64 Om Omc) (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 (/.f64 Om Omc) (sqrt.f64 -1/2))) -1) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 Om Omc) 2) 3) -1/8 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 (/.f64 Om Omc) 4) 1/4 (*.f64 1/2 (pow.f64 (/.f64 Om Omc) 2))))) -1) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 Om Omc) 4) 1/4)) (/.f64 1 (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 Om Omc) 2)))) -1) #(struct:egraph-query ((asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2))) (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))

simplify113.0ms (0.4%)

Algorithm
egg-herbie
Rules
1178×log-prod
1156×fma-def
918×times-frac
866×fma-neg
766×log-div
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02494546
15913622
216643522
367263522
Stop Event
node limit
Counts
134 → 112
Calls
Call 1
Inputs
(asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(+.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) (sqrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))))
(+.f64 0 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 1))) (fma.f64 (neg.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) 1 (*.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 1)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 1))) (fma.f64 (neg.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) 1 (*.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 1)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 1))) (fma.f64 (neg.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) 1 (*.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 1))) (fma.f64 (neg.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) 1 (*.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (*.f64 (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (cbrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) (cbrt.f64 (exp.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))))) (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))))) (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) 1)
(*.f64 1 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))
(*.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 1)
(*.f64 (cbrt.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (pow.f64 (cbrt.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) 2) (cbrt.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))))
(*.f64 (sqrt.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (sqrt.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))))
(pow.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 1)
(pow.f64 (cbrt.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) 3)
(pow.f64 (pow.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) 2)
(sqrt.f64 (pow.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 2))
(log.f64 (exp.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))))
(cbrt.f64 (pow.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 3))
(expm1.f64 (log1p.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))))
(exp.f64 (log.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) 2))
(log1p.f64 (expm1.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))))
(+.f64 0 (*.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)) -1/2)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)) -1/2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)) -1/2))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)) -1/2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)) -1/2))))
(-.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1) 1)
(/.f64 1 (/.f64 (*.f64 Omc Omc) (*.f64 Om (*.f64 Om -1/2))))
(/.f64 (*.f64 Om Om) (/.f64 (*.f64 Omc Omc) -1/2))
(/.f64 -1/2 (*.f64 (/.f64 Omc Om) (/.f64 Omc Om)))
(/.f64 (*.f64 Om (*.f64 Om -1/2)) (*.f64 Omc Omc))
(/.f64 (neg.f64 (*.f64 Om (*.f64 Om -1/2))) (*.f64 Omc (neg.f64 Omc)))
(/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc)))
(/.f64 (*.f64 -1/2 Om) (/.f64 Omc (/.f64 Om Omc)))
(/.f64 (*.f64 -1/2 (*.f64 Om (neg.f64 Om))) (*.f64 Omc (neg.f64 Omc)))
(/.f64 (*.f64 -1/2 (/.f64 (*.f64 Om Om) Omc)) Omc)
(/.f64 (*.f64 (*.f64 Om (neg.f64 Om)) -1/2) (*.f64 Omc (neg.f64 Omc)))
(/.f64 (*.f64 (/.f64 (*.f64 Om Om) Omc) -1/2) Omc)
(/.f64 (/.f64 (*.f64 Om (*.f64 Om -1/2)) 1) (*.f64 Omc Omc))
(/.f64 (/.f64 (*.f64 Om (*.f64 Om -1/2)) Omc) Omc)
(/.f64 (/.f64 (*.f64 Om (*.f64 Om -1/2)) (cbrt.f64 (pow.f64 Omc 4))) (pow.f64 (cbrt.f64 Omc) 2))
(pow.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 Om Omc) (sqrt.f64 -1/2)) 6) 1/3)
(pow.f64 (*.f64 (/.f64 Om Omc) (sqrt.f64 -1/2)) 2)
(pow.f64 (/.f64 (*.f64 Omc Omc) (*.f64 Om (*.f64 Om -1/2))) -1)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 4) 1/4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 Om Omc) (sqrt.f64 -1/2)) 6))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2)))
(expm1.f64 (*.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2)) 1))
(exp.f64 (log.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 Om Omc) (sqrt.f64 -1/2)) 6)) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 Om Omc) (sqrt.f64 -1/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2)))
(fma.f64 1 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1) -1)
(fma.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1) 1 -1)
(fma.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 2) (cbrt.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) -1)
(fma.f64 (hypot.f64 1 (*.f64 (/.f64 Om Omc) (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 (/.f64 Om Omc) (sqrt.f64 -1/2))) -1)
(fma.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 Om Omc) 2) 3) -1/8 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 (/.f64 Om Omc) 4) 1/4 (*.f64 1/2 (pow.f64 (/.f64 Om Omc) 2))))) -1)
(fma.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 Om Omc) 4) 1/4)) (/.f64 1 (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 Om Omc) 2)))) -1)
Outputs
(asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (+.f64 1 (/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))))
(asin.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1))
(asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (+.f64 1 (/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))))
(asin.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1))
(asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (+.f64 1 (/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))))
(asin.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1))
(asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (+.f64 1 (/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))))
(asin.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1))
(asin.f64 (-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (+.f64 1 (/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))))
(asin.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1))
(asin.f64 (-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (+.f64 1 (/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))))
(asin.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1))
(asin.f64 (-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (+.f64 1 (/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))))
(asin.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1))
(asin.f64 (-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (+.f64 1 (/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))))
(asin.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1))
(asin.f64 (-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (+.f64 1 (/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))))
(asin.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1))
(asin.f64 (-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (+.f64 1 (/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))))
(asin.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1))
(asin.f64 (-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (+.f64 1 (/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))))
(asin.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1))
(asin.f64 (-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (+.f64 1 (/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))))
(asin.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1))
(asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (+.f64 1 (/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))))
(asin.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1))
(asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (+.f64 1 (/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))))
(asin.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1))
(asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (+.f64 1 (/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))))
(asin.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1))
(asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (+.f64 1 (/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))))
(asin.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1))
(asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (+.f64 1 (/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))))
(asin.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1))
(asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (+.f64 1 (/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))))
(asin.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1))
(asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (+.f64 1 (/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))))
(asin.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1))
(asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (+.f64 1 (/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))))
(asin.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1))
(asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (+.f64 1 (/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))))
(asin.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1))
(asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (+.f64 1 (/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))))
(asin.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1))
(asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (+.f64 1 (/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))))
(asin.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1))
(asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(asin.f64 (+.f64 1 (/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))))
(asin.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(+.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) (sqrt.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))))
(asin.f64 (+.f64 1 (/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))))
(asin.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1))
(+.f64 0 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))
(asin.f64 (+.f64 1 (/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))))
(asin.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 1))) (fma.f64 (neg.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))) 1 (*.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 1)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1)))
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(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1)))
(+.f64 0 (*.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)) -1/2)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)) -1/2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)) -1/2))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)) -1/2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)) -1/2))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)) -1/2))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)) -1/2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)) -1/2))))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(-.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1) 1)
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(/.f64 1 (/.f64 (*.f64 Omc Omc) (*.f64 Om (*.f64 Om -1/2))))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(/.f64 (*.f64 Om Om) (/.f64 (*.f64 Omc Omc) -1/2))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(/.f64 -1/2 (*.f64 (/.f64 Omc Om) (/.f64 Omc Om)))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(/.f64 (*.f64 Om (*.f64 Om -1/2)) (*.f64 Omc Omc))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(/.f64 (neg.f64 (*.f64 Om (*.f64 Om -1/2))) (*.f64 Omc (neg.f64 Omc)))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc)))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(/.f64 (*.f64 -1/2 Om) (/.f64 Omc (/.f64 Om Omc)))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(/.f64 (*.f64 -1/2 (*.f64 Om (neg.f64 Om))) (*.f64 Omc (neg.f64 Omc)))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(/.f64 (*.f64 -1/2 (/.f64 (*.f64 Om Om) Omc)) Omc)
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(/.f64 (*.f64 (*.f64 Om (neg.f64 Om)) -1/2) (*.f64 Omc (neg.f64 Omc)))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(/.f64 (*.f64 (/.f64 (*.f64 Om Om) Omc) -1/2) Omc)
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(/.f64 (/.f64 (*.f64 Om (*.f64 Om -1/2)) 1) (*.f64 Omc Omc))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(/.f64 (/.f64 (*.f64 Om (*.f64 Om -1/2)) Omc) Omc)
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(/.f64 (/.f64 (*.f64 Om (*.f64 Om -1/2)) (cbrt.f64 (pow.f64 Omc 4))) (pow.f64 (cbrt.f64 Omc) 2))
(/.f64 (*.f64 Om (*.f64 -1/2 Om)) (*.f64 (pow.f64 (cbrt.f64 Omc) 2) (cbrt.f64 (pow.f64 Omc 4))))
(*.f64 (/.f64 (*.f64 Om Om) (pow.f64 (cbrt.f64 Omc) 2)) (/.f64 -1/2 (cbrt.f64 (pow.f64 Omc 4))))
(*.f64 (/.f64 -1/2 (/.f64 (pow.f64 (cbrt.f64 Omc) 2) Om)) (/.f64 Om (cbrt.f64 (pow.f64 Omc 4))))
(pow.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2) 1)
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2)) 3)
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(pow.f64 (pow.f64 (*.f64 (/.f64 Om Omc) (sqrt.f64 -1/2)) 6) 1/3)
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(pow.f64 (*.f64 (/.f64 Om Omc) (sqrt.f64 -1/2)) 2)
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(pow.f64 (/.f64 (*.f64 Omc Omc) (*.f64 Om (*.f64 Om -1/2))) -1)
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 4) 1/4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 Om Omc) 2)) -1/2))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2))))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 Om Omc) (sqrt.f64 -1/2)) 6))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2)))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(expm1.f64 (*.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2)) 1))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(exp.f64 (log.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2)))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2)) 1))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2)) 1) 1))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2))) 3))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 Om Omc) (sqrt.f64 -1/2)) 6)) 1/3))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2)) 3) 1/3))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 Om Omc) (sqrt.f64 -1/2))) 2))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2)))
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(fma.f64 1 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1) -1)
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(fma.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1) 1 -1)
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(fma.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 2) -1)
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) 2) (cbrt.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)) -1)
(/.f64 Om (/.f64 (/.f64 Omc (/.f64 -1/2 Omc)) Om))
(*.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2))
(fma.f64 (hypot.f64 1 (*.f64 (/.f64 Om Omc) (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 (/.f64 Om Omc) (sqrt.f64 -1/2))) -1)
(fma.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 Om Omc) 2) 3) -1/8 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 (/.f64 Om Omc) 4) 1/4 (*.f64 1/2 (pow.f64 (/.f64 Om Omc) 2))))) -1)
(+.f64 -1 (/.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 6) -1/8 1) (fma.f64 (pow.f64 (/.f64 Om Omc) 4) 1/4 (fma.f64 1/2 (pow.f64 (/.f64 Om Omc) 2) 1))))
(fma.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 Om Omc) 4) 1/4)) (/.f64 1 (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 Om Omc) 2)))) -1)
(fma.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 Om Omc) 4) -1/4)) (/.f64 1 (fma.f64 1/2 (pow.f64 (/.f64 Om Omc) 2) 1)) -1)
(+.f64 -1 (/.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 4) -1/4 1) (fma.f64 1/2 (pow.f64 (/.f64 Om Omc) 2) 1)))

localize37.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))
99.7%
(*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))
99.7%
(pow.f64 (/.f64 Om Omc) 2)
99.2%
(/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)
Compiler

Compiled 102 to 65 computations (36.3% saved)

series10.0ms (0%)

Counts
3 → 132
Calls

33 calls:

TimeVariablePointExpression
1.0ms
t
@0
(/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)
1.0ms
Om
@inf
(/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)
1.0ms
Om
@0
(/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)
1.0ms
Om
@inf
(*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))
1.0ms
l
@0
(*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))

rewrite193.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1912×log-prod
674×expm1-udef
670×log1p-udef
538×prod-diff
408×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019125
1409121
25223121
Stop Event
node limit
Counts
3 → 120
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)
(*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))
Outputs
(((+.f64 0 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))) 1) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (/.f64 1 t)) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) 1) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (cbrt.f64 (/.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (*.f64 t t)))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (/.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (*.f64 t t))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (/.f64 1 t))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 1/4) (*.f64 (pow.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 1/4) (/.f64 1 t))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 t))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (neg.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (/.f64 1 (neg.f64 t))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 1 t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (cbrt.f64 t))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (sqrt.f64 t))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (cbrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) t)) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (cbrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (cbrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (sqrt.f64 t)) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (sqrt.f64 t))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 1/4) 1) (/.f64 (pow.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 1/4) t)) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 1/4) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (pow.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 1/4) (cbrt.f64 t))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 1/2) 1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) t)) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 t))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 t)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (sqrt.f64 t))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) 1) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) 3) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) 3) 1/3) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) 2) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 t (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) -1) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((neg.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (neg.f64 t))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (/.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (*.f64 t t))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) 3)) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (/.f64 (pow.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 3/2) (pow.f64 t 3))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) 1)) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))
(((+.f64 0 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 l) (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))) (cbrt.f64 (pow.f64 (exp.f64 l) (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 l) (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 l) (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 l) (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 0 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) 1) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 1 (/.f64 t (*.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) l))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 l (/.f64 t (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) l) t) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) l)) t) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) l)) (neg.f64 t)) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (-.f64 0 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l) 3)) (+.f64 0 (fma.f64 (/.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (*.f64 t t)) (*.f64 l l) (*.f64 0 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (-.f64 0 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l) 2)) (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (neg.f64 l) 1) (/.f64 t (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (neg.f64 l) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) t) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 l (neg.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (neg.f64 t)) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) l)) t) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (neg.f64 l) (neg.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (neg.f64 t)) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) l) (neg.f64 t)) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) l) 1) t) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) l) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) l) (sqrt.f64 t)) (sqrt.f64 t)) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l) 1) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) 3) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l) 3) 1/3) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (sqrt.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) 2) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((neg.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l) 2)) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (pow.f64 (exp.f64 l) (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l) 3)) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) 3) (pow.f64 l 3))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (*.f64 (pow.f64 l 3) (pow.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) 3))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) 1)) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))
(((+.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))) (sqrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 0 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) 1))) (fma.f64 (neg.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) 1 (*.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) 1))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))) (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))) (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))))))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) 1))) (fma.f64 (neg.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) 1 (*.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) 1))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))) (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))) (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))))))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) 1))) (fma.f64 (neg.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) 1 (*.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) 1))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))) (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))) (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))))))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) 1))) (fma.f64 (neg.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) 1 (*.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) 1))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))) (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))) (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))))))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))) (cbrt.f64 (exp.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))))) (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))))) (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 0 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (exp.f64 (log1p.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))) 1) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) 1) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (pow.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) 2)) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) 2) (cbrt.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (sqrt.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 -1 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) 3)) (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (fma.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) 1) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) 3) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) 3) 1/3) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (sqrt.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) 2) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((neg.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) 2)) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) 3)) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) 1)) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))) #(struct:egraph-query ((/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)) (asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))

simplify197.0ms (0.7%)

Algorithm
egg-herbie
Rules
1120×unswap-sqr
682×associate-/l*
674×times-frac
576×associate-*r*
478×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047718602
1136417968
2531514784
Stop Event
node limit
Counts
252 → 257
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 1/2) t)
(+.f64 (/.f64 (sqrt.f64 1/2) t) (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 Om 2)) (*.f64 (pow.f64 Omc 2) t))))
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(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))
(+.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))) (sqrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))))
(+.f64 0 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) 1))) (fma.f64 (neg.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) 1 (*.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) 1)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))) (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))) (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) 1))) (fma.f64 (neg.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) 1 (*.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) 1)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))) (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))) (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) 1))) (fma.f64 (neg.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) 1 (*.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) 1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))) (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))) (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) 1))) (fma.f64 (neg.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) 1 (*.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))) (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))) (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (cbrt.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))) (cbrt.f64 (exp.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))))) (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))))) (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))))))
(-.f64 0 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))) 1)
(*.f64 1 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))
(*.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) 1)
(*.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (pow.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) 2))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) 2) (cbrt.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))))
(*.f64 (sqrt.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) (sqrt.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))))
(*.f64 -1 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) 3)) (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (fma.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))))
(pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) 1)
(pow.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) 3)
(pow.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) 3) 1/3)
(pow.f64 (sqrt.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) 2)
(neg.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))
(sqrt.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) 2))
(log.f64 (exp.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))))))
(cbrt.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l)) 3))
(expm1.f64 (log1p.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))))
(exp.f64 (log.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))))
Outputs
(/.f64 (sqrt.f64 1/2) t)
(+.f64 (/.f64 (sqrt.f64 1/2) t) (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 Om 2)) (*.f64 (pow.f64 Omc 2) t))))
(+.f64 (/.f64 (sqrt.f64 1/2) t) (*.f64 -1/2 (*.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(fma.f64 -1/2 (*.f64 (/.f64 (sqrt.f64 1/2) t) (pow.f64 (/.f64 Om Omc) 2)) (/.f64 (sqrt.f64 1/2) t))
(+.f64 (/.f64 (sqrt.f64 1/2) t) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 Om 2)) (*.f64 (pow.f64 Omc 2) t))) (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 Om 4)) (*.f64 (pow.f64 Omc 4) t)))))
(+.f64 (/.f64 (sqrt.f64 1/2) t) (fma.f64 -1/2 (*.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 -1/8 (*.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))))))
(+.f64 (/.f64 (sqrt.f64 1/2) t) (fma.f64 -1/8 (*.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 Omc 4)) (/.f64 (pow.f64 Om 4) t)) (*.f64 (/.f64 (sqrt.f64 1/2) t) (*.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2))))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 Om 6)) (*.f64 (pow.f64 Omc 6) t))) (+.f64 (/.f64 (sqrt.f64 1/2) t) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 Om 2)) (*.f64 (pow.f64 Omc 2) t))) (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 Om 4)) (*.f64 (pow.f64 Omc 4) t))))))
(fma.f64 -1/16 (*.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6))) (+.f64 (/.f64 (sqrt.f64 1/2) t) (fma.f64 -1/2 (*.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 -1/8 (*.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)))))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 Omc 4)) (/.f64 (pow.f64 Om 4) t)) (*.f64 (/.f64 (sqrt.f64 1/2) t) (*.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2))) (fma.f64 -1/16 (*.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6))) (/.f64 (sqrt.f64 1/2) t)))
(/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 -1) Om)) (*.f64 t Omc))
(*.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 (*.f64 Om (sqrt.f64 -1)) Omc))
(/.f64 (sqrt.f64 1/2) (/.f64 (/.f64 (*.f64 t Omc) Om) (sqrt.f64 -1)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 1/2) Omc) (*.f64 (sqrt.f64 -1) (*.f64 Om t)))) (/.f64 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 1/2) Om)) (*.f64 Omc t)))
(fma.f64 1/2 (*.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 -1)) (/.f64 Omc (*.f64 t Om))) (*.f64 (/.f64 (sqrt.f64 -1) Omc) (/.f64 (*.f64 (sqrt.f64 1/2) Om) t)))
(fma.f64 (/.f64 (sqrt.f64 -1) t) (/.f64 (sqrt.f64 1/2) (/.f64 Omc Om)) (*.f64 (/.f64 1/2 (*.f64 t Om)) (/.f64 (sqrt.f64 1/2) (/.f64 (sqrt.f64 -1) Omc))))
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(*.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 (*.f64 Om (sqrt.f64 -1)) Omc))
(/.f64 (sqrt.f64 1/2) (/.f64 (/.f64 (*.f64 t Omc) Om) (sqrt.f64 -1)))
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(/.f64 (sqrt.f64 1/2) t)
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(/.f64 (sqrt.f64 1/2) t)
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(asin.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)))
(log1p.f64 (expm1.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))))
(+.f64 (asin.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (/.f64 t l))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (/.f64 t l))))) (sqrt.f64 (acos.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (/.f64 t l)))) (acos.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (/.f64 t l)))))
(+.f64 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))) (sqrt.f64 (acos.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)))) (acos.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)))))
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (/.f64 t l))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (/.f64 t l))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (/.f64 t l))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t) l))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (/.f64 t l))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))

localize39.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.5%
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))
99.3%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))))
99.2%
(/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))
83.9%
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))
Compiler

Compiled 134 to 63 computations (53% saved)

series66.0ms (0.2%)

Counts
4 → 168
Calls

42 calls:

TimeVariablePointExpression
50.0ms
t
@inf
(/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))
7.0ms
Om
@-inf
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))))
1.0ms
t
@inf
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))
0.0ms
l
@inf
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))
0.0ms
t
@-inf
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))

rewrite223.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1306×prod-diff
766×expm1-udef
454×add-sqr-sqrt
444×pow1
442×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020178
1449160
26208160
Stop Event
node limit
Counts
4 → 205
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))
(/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))
Outputs
(((-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 1/4) (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 1/4)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (pow.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 1/2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2)) 1/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) 1/2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 1 (sqrt.f64 (/.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1) (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 1 (/.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (sqrt.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (sqrt.f64 (neg.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (neg.f64 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 1/2) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) 3) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 3/2) 1/3) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 1/4) 2) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fabs.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 3/2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) (log1p.f64 (*.f64 2 (pow.f64 (/.f64 l t) -2)))) 1/2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) 1)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))
(((-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 l t) -2))) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (pow.f64 (/.f64 l t) -2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (/.f64 l t) -2) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (pow.f64 (/.f64 l t) -2)) (cbrt.f64 (/.f64 1 (pow.f64 (/.f64 l t) 4)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (/.f64 l t) 4))) (cbrt.f64 (pow.f64 (/.f64 l t) -2))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 t l) (/.f64 t l)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 -1 (/.f64 1 (neg.f64 (pow.f64 (/.f64 l t) 2)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 l t) 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 l t)) 2) -1)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (/.f64 t l) 1) (/.f64 t l)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (/.f64 t l) l) t) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 1 (*.f64 l l)) (*.f64 t t)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 1 (*.f64 l (/.f64 l t))) t) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (/.f64 t l) (neg.f64 l)) (neg.f64 t)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 l t) -2) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (/.f64 l t) 2) -1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (/.f64 l t) -2) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (pow.f64 (/.f64 l t) -2)) 3) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (pow.f64 (/.f64 l t) -2) 3) 1/3) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 t l) 2) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (/.f64 1 (pow.f64 (/.f64 l t) 4))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (pow.f64 (/.f64 l t) -2))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 l t) -2)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (pow.f64 (/.f64 l t) -2) 3)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (pow.f64 (/.f64 l t) -2))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (pow.f64 (/.f64 l t) -2))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 l t))) -1)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 l t) -2)) 1)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (pow.f64 (/.f64 l t) -2))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))
(((+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))))) (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))))) (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))))) (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) (cbrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))))) (sqrt.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))))) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) 2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) 2) (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))))) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) 3) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) 3) 1/3) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) 2) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) 2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) 3)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) 1)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))
(((+.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 1))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) 1 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (neg.f64 (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (pow.f64 (/.f64 Om Omc) 2) (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (/.f64 Om Omc) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (/.f64 (/.f64 Om Omc) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 (/.f64 Om Omc) 1) (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (/.f64 (/.f64 Om Omc) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2)) (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (neg.f64 (*.f64 (+.f64 1 (+.f64 (/.f64 4 (pow.f64 (/.f64 l t) 4)) (*.f64 -2 (pow.f64 (/.f64 l t) -2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 l t) -2) 3) 8)))))) (fma.f64 (neg.f64 (+.f64 1 (+.f64 (/.f64 4 (pow.f64 (/.f64 l t) 4)) (*.f64 -2 (pow.f64 (/.f64 l t) -2))))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 l t) -2) 3) 8))) (*.f64 (+.f64 1 (+.f64 (/.f64 4 (pow.f64 (/.f64 l t) 4)) (*.f64 -2 (pow.f64 (/.f64 l t) -2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 l t) -2) 3) 8)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (neg.f64 (*.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4))))))) (fma.f64 (neg.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4)))) (*.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 1))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) 1 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (pow.f64 (/.f64 Om Omc) 2) (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (/.f64 Om Omc) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (/.f64 (/.f64 Om Omc) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 (/.f64 Om Omc) 1) (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (/.f64 (/.f64 Om Omc) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2)) (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (neg.f64 (*.f64 (+.f64 1 (+.f64 (/.f64 4 (pow.f64 (/.f64 l t) 4)) (*.f64 -2 (pow.f64 (/.f64 l t) -2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 l t) -2) 3) 8)))))) (fma.f64 (neg.f64 (+.f64 1 (+.f64 (/.f64 4 (pow.f64 (/.f64 l t) 4)) (*.f64 -2 (pow.f64 (/.f64 l t) -2))))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 l t) -2) 3) 8))) (*.f64 (+.f64 1 (+.f64 (/.f64 4 (pow.f64 (/.f64 l t) 4)) (*.f64 -2 (pow.f64 (/.f64 l t) -2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 l t) -2) 3) 8)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (neg.f64 (*.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4))))))) (fma.f64 (neg.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4)))) (*.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 1))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) 1 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (pow.f64 (/.f64 Om Omc) 2) (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (/.f64 Om Omc) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (/.f64 (/.f64 Om Omc) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 (/.f64 Om Omc) 1) (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (/.f64 (/.f64 Om Omc) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2)) (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (neg.f64 (*.f64 (+.f64 1 (+.f64 (/.f64 4 (pow.f64 (/.f64 l t) 4)) (*.f64 -2 (pow.f64 (/.f64 l t) -2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 l t) -2) 3) 8)))))) (fma.f64 (neg.f64 (+.f64 1 (+.f64 (/.f64 4 (pow.f64 (/.f64 l t) 4)) (*.f64 -2 (pow.f64 (/.f64 l t) -2))))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 l t) -2) 3) 8))) (*.f64 (+.f64 1 (+.f64 (/.f64 4 (pow.f64 (/.f64 l t) 4)) (*.f64 -2 (pow.f64 (/.f64 l t) -2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 l t) -2) 3) 8)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (neg.f64 (*.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4))))))) (fma.f64 (neg.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4)))) (*.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 l t) -2) 3) 8))) (+.f64 1 (+.f64 (/.f64 4 (pow.f64 (/.f64 l t) 4)) (*.f64 -2 (pow.f64 (/.f64 l t) -2)))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 1))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) 1 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 l t) -2) 3) 8))) (+.f64 1 (+.f64 (/.f64 4 (pow.f64 (/.f64 l t) 4)) (*.f64 -2 (pow.f64 (/.f64 l t) -2)))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (pow.f64 (/.f64 Om Omc) 2) (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 l t) -2) 3) 8))) (+.f64 1 (+.f64 (/.f64 4 (pow.f64 (/.f64 l t) 4)) (*.f64 -2 (pow.f64 (/.f64 l t) -2)))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 l t) -2) 3) 8))) (+.f64 1 (+.f64 (/.f64 4 (pow.f64 (/.f64 l t) 4)) (*.f64 -2 (pow.f64 (/.f64 l t) -2)))) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 l t) -2) 3) 8))) (+.f64 1 (+.f64 (/.f64 4 (pow.f64 (/.f64 l t) 4)) (*.f64 -2 (pow.f64 (/.f64 l t) -2)))) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (/.f64 Om Omc) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 l t) -2) 3) 8))) (+.f64 1 (+.f64 (/.f64 4 (pow.f64 (/.f64 l t) 4)) (*.f64 -2 (pow.f64 (/.f64 l t) -2)))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 l t) -2) 3) 8))) (+.f64 1 (+.f64 (/.f64 4 (pow.f64 (/.f64 l t) 4)) (*.f64 -2 (pow.f64 (/.f64 l t) -2)))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 l t) -2) 3) 8))) (+.f64 1 (+.f64 (/.f64 4 (pow.f64 (/.f64 l t) 4)) (*.f64 -2 (pow.f64 (/.f64 l t) -2)))) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (/.f64 (/.f64 Om Omc) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 (/.f64 Om Omc) 1) (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (/.f64 (/.f64 Om Omc) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 l t) -2) 3) 8))) (+.f64 1 (+.f64 (/.f64 4 (pow.f64 (/.f64 l t) 4)) (*.f64 -2 (pow.f64 (/.f64 l t) -2)))) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2)) (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 l t) -2) 3) 8))) (+.f64 1 (+.f64 (/.f64 4 (pow.f64 (/.f64 l t) 4)) (*.f64 -2 (pow.f64 (/.f64 l t) -2)))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 l t) -2) 3) 8))) (+.f64 1 (+.f64 (/.f64 4 (pow.f64 (/.f64 l t) 4)) (*.f64 -2 (pow.f64 (/.f64 l t) -2)))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 l t) -2) 3) 8))) (+.f64 1 (+.f64 (/.f64 4 (pow.f64 (/.f64 l t) 4)) (*.f64 -2 (pow.f64 (/.f64 l t) -2)))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 l t) -2) 3) 8))) (+.f64 1 (+.f64 (/.f64 4 (pow.f64 (/.f64 l t) 4)) (*.f64 -2 (pow.f64 (/.f64 l t) -2)))) (neg.f64 (*.f64 (+.f64 1 (+.f64 (/.f64 4 (pow.f64 (/.f64 l t) 4)) (*.f64 -2 (pow.f64 (/.f64 l t) -2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 l t) -2) 3) 8)))))) (fma.f64 (neg.f64 (+.f64 1 (+.f64 (/.f64 4 (pow.f64 (/.f64 l t) 4)) (*.f64 -2 (pow.f64 (/.f64 l t) -2))))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 l t) -2) 3) 8))) (*.f64 (+.f64 1 (+.f64 (/.f64 4 (pow.f64 (/.f64 l t) 4)) (*.f64 -2 (pow.f64 (/.f64 l t) -2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 l t) -2) 3) 8)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 l t) -2) 3) 8))) (+.f64 1 (+.f64 (/.f64 4 (pow.f64 (/.f64 l t) 4)) (*.f64 -2 (pow.f64 (/.f64 l t) -2)))) (neg.f64 (*.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4))))))) (fma.f64 (neg.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4)))) (*.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4)))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 1))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) 1 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4)))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (pow.f64 (/.f64 Om Omc) 2) (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4)))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4)))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2))) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (sqrt.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4)))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2))) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (/.f64 Om Omc) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4)))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4)))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2))) (neg.f64 (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4)))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2))) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (/.f64 (/.f64 Om Omc) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 (/.f64 Om Omc) 1) (*.f64 (/.f64 (/.f64 Om Omc) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (/.f64 (/.f64 Om Omc) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4)))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2))) (neg.f64 (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2)) (*.f64 (/.f64 (/.f64 Om Omc) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 (/.f64 Om Omc) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4)))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4)))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4)))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4)))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2))) (neg.f64 (*.f64 (+.f64 1 (+.f64 (/.f64 4 (pow.f64 (/.f64 l t) 4)) (*.f64 -2 (pow.f64 (/.f64 l t) -2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 l t) -2) 3) 8)))))) (fma.f64 (neg.f64 (+.f64 1 (+.f64 (/.f64 4 (pow.f64 (/.f64 l t) 4)) (*.f64 -2 (pow.f64 (/.f64 l t) -2))))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 l t) -2) 3) 8))) (*.f64 (+.f64 1 (+.f64 (/.f64 4 (pow.f64 (/.f64 l t) 4)) (*.f64 -2 (pow.f64 (/.f64 l t) -2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 l t) -2) 3) 8)))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (/.f64 1 (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4)))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2))) (neg.f64 (*.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4))))))) (fma.f64 (neg.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4)))) (*.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4))))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2)) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 1/4) (*.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 1/4) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (neg.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 1/4)) (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 1/4)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2)) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2)) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 l t) -2) 3) 8))) (+.f64 1 (+.f64 (/.f64 4 (pow.f64 (/.f64 l t) 4)) (*.f64 -2 (pow.f64 (/.f64 l t) -2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4)))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) 2) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) 3) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2) 1/2) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 3) 1/3) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1) (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) -1) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((neg.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (neg.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 3)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3) (pow.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1) 3))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) (log1p.f64 (*.f64 2 (pow.f64 (/.f64 l t) -2))))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) (log1p.f64 (*.f64 2 (pow.f64 (/.f64 l t) -2)))) 1)) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) #(struct:egraph-query ((sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))

simplify374.0ms (1.3%)

Algorithm
egg-herbie
Rules
712×associate-*r*
708×associate-*l*
698×*-commutative
646×fma-def
488×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
079747905
1215135623
2769235615
Stop Event
node limit
Counts
373 → 436
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))))))
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(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))
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(*.f64 -1 (*.f64 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))))
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(sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))
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(sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))
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(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
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(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4)))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) 1))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4)))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2)))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4)))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 Om Omc)) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 Om Omc) 4)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4)))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2))) (neg.f64 (*.f64 (+.f64 1 (+.f64 (/.f64 4 (pow.f64 (/.f64 l t) 4)) (*.f64 -2 (pow.f64 (/.f64 l t) -2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 l t) -2) 3) 8)))))) (fma.f64 (neg.f64 (+.f64 1 (+.f64 (/.f64 4 (pow.f64 (/.f64 l t) 4)) (*.f64 -2 (pow.f64 (/.f64 l t) -2))))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 l t) -2) 3) 8))) (*.f64 (+.f64 1 (+.f64 (/.f64 4 (pow.f64 (/.f64 l t) 4)) (*.f64 -2 (pow.f64 (/.f64 l t) -2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 l t) -2) 3) 8))))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4)))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2))) (neg.f64 (*.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4))))))) (fma.f64 (neg.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2)))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4)))) (*.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2))) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4)))))))
(-.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (/.f64 (pow.f64 (/.f64 Om Omc) 2) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) 1)
(*.f64 1 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2)) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))
(*.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 1/4) (*.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 1/4) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))
(*.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 1 (neg.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))
(*.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 1/4)) (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 1/4))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2)) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))
(*.f64 (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2)) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 l t) -2) 3) 8))) (+.f64 1 (+.f64 (/.f64 4 (pow.f64 (/.f64 l t) 4)) (*.f64 -2 (pow.f64 (/.f64 l t) -2)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4)))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2))))
(pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1) (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) -1)
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (neg.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3) (pow.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) (log1p.f64 (*.f64 2 (pow.f64 (/.f64 l t) -2)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) (log1p.f64 (*.f64 2 (pow.f64 (/.f64 l t) -2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))
Outputs
(sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))
(sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l))))))
(sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l)))))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l)))))) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 Om Omc) 2)) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))))))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l)))))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l)))))) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l))))))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)))))
(+.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 Om Omc) 2)) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (pow.f64 (/.f64 Om Omc) 4) -1/8))))
(+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6)))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)))))))
(fma.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l)))))) (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l)))))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l)))))) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l))))))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))))))
(+.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (/.f64 Om Omc) 2)) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (pow.f64 (/.f64 Om Omc) 4) -1/8))) (fma.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6))) (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l)))))) (/.f64 (sqrt.f64 -1) (/.f64 Omc Om)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (*.f64 (/.f64 (sqrt.f64 -1) Omc) Om))
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(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l)))) (*.f64 Omc Omc))) (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2)) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 2) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))
(*.f64 (/.f64 1 (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) 1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l)))) (*.f64 Omc Omc))) (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2)) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 2))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 4))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 (pow.f64 (pow.f64 (/.f64 l t) -2) 3) 8))) (+.f64 1 (+.f64 (/.f64 4 (pow.f64 (/.f64 l t) 4)) (*.f64 -2 (pow.f64 (/.f64 l t) -2)))))
(*.f64 (+.f64 1 (+.f64 (/.f64 4 (pow.f64 (/.f64 l t) 4)) (*.f64 -2 (pow.f64 (/.f64 l t) -2)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 8 (pow.f64 (pow.f64 (/.f64 l t) -2) 3)))))
(*.f64 (+.f64 1 (fma.f64 -2 (pow.f64 (/.f64 t l) 2) (/.f64 4 (pow.f64 (/.f64 l t) 4)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 8 (pow.f64 (pow.f64 (/.f64 t l) 2) 3) 1)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4)))) (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2))))
(*.f64 (+.f64 1 (*.f64 -2 (pow.f64 (/.f64 l t) -2))) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (-.f64 1 (/.f64 4 (pow.f64 (/.f64 l t) 4)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 -2 (pow.f64 (/.f64 t l) 2) 1)) (+.f64 1 (/.f64 -4 (pow.f64 (/.f64 l t) 4))))
(pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 1)
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l)))) (*.f64 Omc Omc))) (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) 2)
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l)))) (*.f64 Omc Omc))) (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))) 3)
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l)))) (*.f64 Omc Omc))) (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2) 1/2)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2))
(fabs.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 3) 1/3)
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l)))) (*.f64 Omc Omc))) (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(pow.f64 (/.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1) (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) -1)
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l)))) (*.f64 Omc Omc))) (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (neg.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l)))) (*.f64 Omc Omc))) (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 2))
(fabs.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l)))) (*.f64 Omc Omc))) (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)))))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l)))) (*.f64 Omc Omc))) (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1)) 3))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l)))) (*.f64 Omc Omc))) (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 3) (pow.f64 (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1) 3)))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l)))) (*.f64 Omc Omc))) (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l)))) (*.f64 Omc Omc))) (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) (log1p.f64 (*.f64 2 (pow.f64 (/.f64 l t) -2)))))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) (log1p.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) (log1p.f64 (*.f64 2 (pow.f64 (/.f64 l t) -2)))) 1))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) (log1p.f64 (*.f64 2 (pow.f64 (/.f64 l t) -2)))))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) (log1p.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) -2) 1))))
(fma.f64 -1 (/.f64 (*.f64 Om Om) (*.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l)))) (*.f64 Omc Omc))) (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))

localize33.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))
100.0%
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)
99.7%
(pow.f64 (/.f64 Om Omc) 2)
99.4%
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
Compiler

Compiled 74 to 49 computations (33.8% saved)

series145.0ms (0.5%)

Counts
2 → 24
Calls

12 calls:

TimeVariablePointExpression
44.0ms
Om
@0
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)
40.0ms
Om
@inf
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)
25.0ms
Omc
@inf
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)
15.0ms
Om
@-inf
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)
13.0ms
Omc
@-inf
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)

rewrite133.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1278×log-prod
758×prod-diff
664×pow-prod-up
628×pow-exp
506×expm1-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01554
132354
2378554
Stop Event
node limit
Counts
2 → 127
Calls
Call 1
Inputs
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)
Outputs
(((+.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (sqrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) -1) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 0 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 -1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 1 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 1 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 1 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 1 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))) (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 1) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (/.f64 (pow.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 3) (+.f64 (pow.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 2) (+.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 2) (+.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((-.f64 (/.f64 (pow.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 2) (+.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) (/.f64 1 (+.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 2))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 2) (+.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) (/.f64 1 (+.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (+.f64 (sqrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 2) (+.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) (expm1.f64 (*.f64 3 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 1 (/.f64 (+.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (expm1.f64 (*.f64 2 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) (+.f64 (pow.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 2) (+.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) (+.f64 (pow.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 2) (-.f64 1 (*.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) -1)))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) (+.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 2) (+.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))) (neg.f64 (+.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 3) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 3) 1/3) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 2) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 2) (+.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) (expm1.f64 (*.f64 3 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))) -1) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 (+.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (expm1.f64 (*.f64 2 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))) -1) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 2)) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 3)) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 1)) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 1) 1)) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 3)) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (*.f64 3 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1/3)) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 2)) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) -1) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 1 -1) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (pow.f64 (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 2) -1) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 2) (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) -1) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1) -1) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (sqrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (sqrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) -1) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (sqrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (*.f64 (sqrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1) -1) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))
(((+.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (sqrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) -1) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 0 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 -1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 1 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 1 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 1 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 1 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))) (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((+.f64 (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 2))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 2) (+.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) (/.f64 1 (+.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((*.f64 (+.f64 (sqrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 2) (+.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) (expm1.f64 (*.f64 3 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 1 (/.f64 (+.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (expm1.f64 (*.f64 2 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) (+.f64 (pow.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 2) (+.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) (+.f64 (pow.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 2) (-.f64 1 (*.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) -1)))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) (+.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 2) (+.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))) (neg.f64 (+.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 3) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 3) 1/3) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 2) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 2) (+.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) (expm1.f64 (*.f64 3 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))) -1) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((pow.f64 (/.f64 (+.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (expm1.f64 (*.f64 2 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))) -1) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 2)) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 3)) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 1)) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 1) 1)) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 3)) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (*.f64 3 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1/3)) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 2)) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) -1) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 1 -1) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (pow.f64 (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 2) -1) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 2) (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) -1) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1) -1) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (sqrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (sqrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) -1) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (sqrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (*.f64 (sqrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1) -1) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)) ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) #(struct:egraph-query ((asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)) (#<rule log1p-expm1-u> #<rule expm1-log1p-u> #<rule pow1> #<rule add-exp-log> #<rule add-log-exp> #<rule add-cube-cbrt> #<rule add-cbrt-cube> #<rule add-sqr-sqrt> #<rule *-un-lft-identity> #<rule not-true> #<rule not-false> #<rule not-not> #<rule not-and> #<rule not-or> #<rule and-true-l> #<rule and-true-r> #<rule and-false-l> #<rule and-false-r> #<rule and-same> #<rule or-true-l> #<rule or-true-r> #<rule or-false-l> #<rule or-false-r> #<rule or-same> #<rule erf-odd> #<rule erf-erfc> #<rule erfc-erf> #<rule if-true> #<rule if-false> #<rule if-same> #<rule if-not> #<rule if-if-or> #<rule if-if-or-not> #<rule if-if-and> #<rule if-if-and-not> #<rule lt-same> #<rule gt-same> #<rule lte-same> #<rule gte-same> #<rule not-lt> #<rule not-gt> #<rule not-lte> #<rule not-gte> #<rule prod-diff> #<rule expm1-udef> #<rule log1p-udef> #<rule hypot-udef> #<rule expm1-def> #<rule log1p-def> #<rule log1p-expm1> #<rule expm1-log1p> #<rule hypot-def> #<rule hypot-1-def> #<rule fma-def> #<rule fma-neg> #<rule fma-udef> #<rule asinh-def> #<rule acosh-def> #<rule atanh-def> #<rule acosh-2> #<rule asinh-2> #<rule sinh-asinh> #<rule sinh-acosh> #<rule sinh-atanh> #<rule cosh-asinh> #<rule cosh-acosh> #<rule cosh-atanh> #<rule tanh-asinh> #<rule tanh-acosh> #<rule tanh-atanh> #<rule sinh-neg> #<rule sinh-0> #<rule cosh-neg> #<rule cosh-0> #<rule sinh-undef> #<rule cosh-undef> #<rule tanh-undef> #<rule cosh-sum> #<rule cosh-diff> #<rule cosh-2> #<rule cosh-1/2> #<rule sinh-sum> #<rule sinh-diff> #<rule sinh-2> #<rule sinh-1/2> #<rule tanh-sum> #<rule tanh-2> #<rule tanh-1/2> #<rule tanh-1/2*> #<rule sum-sinh> #<rule sum-cosh> #<rule diff-sinh> #<rule diff-cosh> #<rule sinh-def> #<rule cosh-def> #<rule tanh-def-a> #<rule tanh-def-b> #<rule tanh-def-c> #<rule sinh-cosh> #<rule sinh-+-cosh> #<rule sinh---cosh> #<rule cos-asin> #<rule tan-asin> #<rule sin-acos> #<rule tan-acos> #<rule sin-atan> #<rule cos-atan> #<rule asin-acos> #<rule acos-asin> #<rule asin-neg> #<rule acos-neg> #<rule atan-neg> #<rule atan-tan-s> #<rule asin-sin-s> #<rule acos-cos-s> #<rule sin-asin> #<rule cos-acos> #<rule tan-atan> #<rule atan-tan> #<rule asin-sin> #<rule acos-cos> #<rule sin-sum> #<rule cos-sum> #<rule tan-sum> #<rule sin-diff> #<rule cos-diff> #<rule sin-2> #<rule sin-3> #<rule 2-sin> #<rule 3-sin> #<rule cos-2> #<rule cos-3> #<rule 2-cos> #<rule 3-cos> #<rule tan-2> #<rule 2-tan> #<rule sqr-sin-a> #<rule sqr-cos-a> #<rule diff-sin> #<rule diff-cos> #<rule sum-sin> #<rule sum-cos> #<rule cos-mult> #<rule sin-mult> #<rule sin-cos-mult> #<rule diff-atan> #<rule sum-atan> #<rule tan-quot> #<rule quot-tan> #<rule tan-hang-p> #<rule tan-hang-m> #<rule sin-neg> #<rule cos-neg> #<rule tan-neg> #<rule sin-0> #<rule cos-0> #<rule tan-0> #<rule cos-sin-sum> #<rule 1-sub-cos> #<rule 1-sub-sin> #<rule -1-add-cos> #<rule -1-add-sin> #<rule sub-1-cos> #<rule sub-1-sin> #<rule sin-PI/6> #<rule sin-PI/4> #<rule sin-PI/3> #<rule sin-PI/2> #<rule sin-PI> #<rule sin-+PI> #<rule sin-+PI/2> #<rule cos-PI/6> #<rule cos-PI/4> #<rule cos-PI/3> #<rule cos-PI/2> #<rule cos-PI> #<rule cos-+PI> #<rule cos-+PI/2> #<rule tan-PI/6> #<rule tan-PI/4> #<rule tan-PI/3> #<rule tan-PI> #<rule tan-+PI> #<rule tan-+PI/2> #<rule hang-0p-tan> #<rule hang-0m-tan> #<rule hang-p0-tan> #<rule hang-m0-tan> #<rule hang-p-tan> #<rule hang-m-tan> #<rule sum-log> #<rule diff-log> #<rule neg-log> #<rule log-prod> #<rule log-div> #<rule log-rec> #<rule log-pow> #<rule log-E> #<rule inv-pow> #<rule pow-base-0> #<rule pow-exp> #<rule pow-to-exp> #<rule pow-prod-up> #<rule pow-prod-down> #<rule pow-pow> #<rule pow-neg> #<rule pow-flip> #<rule pow-div> #<rule pow-sub> #<rule pow-unpow> #<rule unpow-prod-up> #<rule unpow-prod-down> #<rule pow1/2> #<rule pow2> #<rule pow1/3> #<rule pow3> #<rule exp-to-pow> #<rule pow-plus> #<rule unpow1/2> #<rule unpow2> #<rule unpow3> #<rule unpow1/3> #<rule unpow0> #<rule pow-base-1> #<rule unpow1> #<rule unpow-1> #<rule prod-exp> #<rule rec-exp> #<rule div-exp> #<rule exp-prod> #<rule exp-sqrt> #<rule exp-cbrt> #<rule exp-lft-sqr> #<rule exp-lft-cube> #<rule exp-sum> #<rule exp-neg> #<rule exp-diff> #<rule exp-0> #<rule exp-1-e> #<rule 1-exp> #<rule e-exp-1> #<rule rem-exp-log> #<rule rem-log-exp> #<rule cube-unmult> #<rule cbrt-prod> #<rule cbrt-div> #<rule cbrt-unprod> #<rule cbrt-undiv> #<rule cube-prod> #<rule cube-div> #<rule cube-mult> #<rule rem-cube-cbrt> #<rule rem-cbrt-cube> #<rule rem-3cbrt-lft> #<rule rem-3cbrt-rft> #<rule cube-neg> #<rule sqrt-prod> #<rule sqrt-div> #<rule sqrt-pow1> #<rule sqrt-pow2> #<rule sqrt-unprod> #<rule sqrt-undiv> #<rule neg-fabs> #<rule mul-fabs> #<rule div-fabs> #<rule fabs-fabs> #<rule fabs-sub> #<rule fabs-neg> #<rule fabs-sqr> #<rule fabs-mul> #<rule fabs-div> #<rule sqr-neg> #<rule sqr-abs> #<rule rem-square-sqrt> #<rule rem-sqrt-square> #<rule sub-div> #<rule frac-add> #<rule frac-sub> #<rule frac-times> #<rule frac-2neg> #<rule div-sub> #<rule times-frac> #<rule sum-cubes> #<rule difference-cubes> #<rule flip3-+> #<rule flip3--> #<rule div-inv> #<rule un-div-inv> #<rule clear-num> #<rule sub-neg> #<rule unsub-neg> #<rule neg-sub0> #<rule neg-mul-1> #<rule +-lft-identity> #<rule +-rgt-identity> #<rule --rgt-identity> #<rule sub0-neg> #<rule remove-double-neg> #<rule *-lft-identity> #<rule *-rgt-identity> #<rule /-rgt-identity> #<rule mul-1-neg> #<rule +-inverses> #<rule *-inverses> #<rule div0> #<rule mul0-lft> #<rule mul0-rgt> #<rule remove-double-div> #<rule rgt-mult-inverse> #<rule lft-mult-inverse> #<rule flip-+> #<rule flip--> #<rule swap-sqr> #<rule unswap-sqr> #<rule difference-of-squares> #<rule difference-of-sqr-1> #<rule difference-of-sqr--1> #<rule sqr-pow> #<rule pow-sqr> #<rule cancel-sign-sub> #<rule cancel-sign-sub-inv> #<rule distribute-lft-neg-in> #<rule distribute-rgt-neg-in> #<rule distribute-lft-neg-out> #<rule distribute-rgt-neg-out> #<rule distribute-neg-in> #<rule distribute-neg-out> #<rule distribute-frac-neg> #<rule distribute-neg-frac> #<rule distribute-lft-in> #<rule distribute-rgt-in> #<rule distribute-lft-out> #<rule distribute-lft-out--> #<rule distribute-rgt-out> #<rule distribute-rgt-out--> #<rule distribute-lft1-in> #<rule distribute-rgt1-in> #<rule count-2> #<rule associate-+r+> #<rule associate-+l+> #<rule associate-+r-> #<rule associate-+l-> #<rule associate--r+> #<rule associate--l+> #<rule associate--l-> #<rule associate--r-> #<rule associate-*r*> #<rule associate-*l*> #<rule associate-*r/> #<rule associate-*l/> #<rule associate-/r*> #<rule associate-/l*> #<rule associate-/r/> #<rule associate-/l/> #<rule +-commutative> #<rule *-commutative>) #f 8000 #f)))

simplify120.0ms (0.4%)

Algorithm
egg-herbie
Rules
1568×fma-def
1384×div-sub
1266×fma-neg
496×distribute-lft-in
464×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01757247
14037027
212116931
354666931
Stop Event
node limit
Counts
151 → 83
Calls
Call 1
Inputs
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(+.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (sqrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(+.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) -1)
(+.f64 0 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(+.f64 -1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 1 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 1 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 1 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1)))
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(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 1 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))) (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))
(*.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(*.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1)
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 2)) (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 2) (+.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) (/.f64 1 (+.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 2) (+.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) (expm1.f64 (*.f64 3 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (expm1.f64 (*.f64 2 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) (+.f64 (pow.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 2) (+.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) (+.f64 (pow.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 2) (-.f64 1 (*.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) -1))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) (+.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 2) (+.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))) (neg.f64 (+.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(pow.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1)
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 3)
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 2) (+.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) (expm1.f64 (*.f64 3 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))) -1)
(pow.f64 (/.f64 (+.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (expm1.f64 (*.f64 2 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))) -1)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 2))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 3))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 2))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(fma.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) -1)
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(fma.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (pow.f64 (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 2) (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (sqrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (*.f64 (sqrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1) -1)
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
Outputs
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(+.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (sqrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(+.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) -1)
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(+.f64 0 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(+.f64 -1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 1 (*.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (cbrt.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
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(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 2) (+.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) (expm1.f64 (*.f64 3 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))) -1)
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 2) (+.f64 2 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) (expm1.f64 (*.f64 3 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) (+.f64 (pow.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 2) (+.f64 2 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) (+.f64 1 (*.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (+.f64 2 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))
(pow.f64 (/.f64 (+.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (expm1.f64 (*.f64 2 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))) -1)
(*.f64 (/.f64 1 (+.f64 2 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (expm1.f64 (*.f64 2 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))) (+.f64 2 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 2))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) 3))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 1))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 1) 1))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 3))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1/3))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 2))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(fma.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) -1)
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(fma.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 1 -1)
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(fma.f64 (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (pow.f64 (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 2) -1)
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 2) (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) -1)
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1) -1)
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(fma.f64 (sqrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (sqrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) -1)
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(fma.f64 (sqrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (*.f64 (sqrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1) -1)
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))

eval1.3s (4.5%)

Compiler

Compiled 52482 to 36699 computations (30.1% saved)

prune466.0ms (1.6%)

Pruning

39 alts after pruning (36 fresh and 3 done)

PrunedKeptTotal
New1260201280
Fresh91625
Picked101
Done336
Total1273391312
Accurracy
99.3%
Counts
1312 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.6%
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))))
80.1%
(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1/6) 4) 3)
81.6%
(pow.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/4) 2) 2)
79.0%
(pow.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/6) 2) 3)
80.3%
(pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) 3) 2)
79.2%
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) 3) 3)
80.4%
(pow.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2)) (sqrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) 2)
97.8%
(pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)
80.7%
(pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) 3)
81.5%
(pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3/2)) 2)
79.8%
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)
48.9%
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 3)
41.7%
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))) 3)
49.2%
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))) 1)
49.2%
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 3))) 1)
50.0%
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) 1)
50.4%
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))))))) 1)
49.6%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))
50.0%
(asin.f64 (+.f64 1 (/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc)))))
33.1%
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (neg.f64 (/.f64 (/.f64 l t) (pow.f64 1/2 -1/2)))))
27.6%
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 l (*.f64 (sqrt.f64 2) t))))
32.0%
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)))
33.1%
(asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2))))))
79.5%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))))
71.3%
(asin.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (/.f64 2 l) (/.f64 (*.f64 t t) l))))))
63.7%
(asin.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l)))))))
50.4%
(asin.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
33.0%
(asin.f64 (neg.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) t) (/.f64 1 l))))
33.1%
(asin.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)))
32.0%
(asin.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 l) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) t)))
32.8%
(asin.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l))))
32.0%
(asin.f64 (neg.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))
33.0%
(asin.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) l)))
32.0%
(asin.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 l) t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))
33.0%
(asin.f64 (neg.f64 (*.f64 (/.f64 l t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))
29.8%
(asin.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 l (*.f64 (sqrt.f64 2) t)))))
28.6%
(asin.f64 (neg.f64 (*.f64 l (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (/.f64 (*.f64 t t) 1/2))))))
28.6%
(asin.f64 (neg.f64 (*.f64 l (sqrt.f64 (*.f64 (/.f64 1/2 t) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) t))))))
49.5%
(asin.f64 1)
Compiler

Compiled 841 to 692 computations (17.7% saved)

regimes493.0ms (1.7%)

Counts
79 → 1
Calls
Call 1
Inputs
(asin.f64 1)
(asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)))
(asin.f64 (+.f64 1 (/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc)))))
(asin.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) l)))
(asin.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l))))
(asin.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)))
(asin.f64 (neg.f64 (*.f64 1 (/.f64 (sqrt.f64 1/2) (/.f64 t l)))))
(asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2))))))
(asin.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l)))))))
(asin.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (/.f64 2 l) (/.f64 (*.f64 t t) l))))))
(asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (*.f64 l l) (/.f64 (*.f64 t t) (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1))
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)))
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))
(asin.f64 (neg.f64 (*.f64 (/.f64 l t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))
(asin.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 l) t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))
(asin.f64 (neg.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))
(asin.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 l) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) t)))
(asin.f64 (neg.f64 (*.f64 l (sqrt.f64 (*.f64 (/.f64 1/2 t) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) t))))))
(asin.f64 (neg.f64 (*.f64 l (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (/.f64 (*.f64 t t) 1/2))))))
(asin.f64 (neg.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) t) (/.f64 1 l))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 l (*.f64 (sqrt.f64 2) t))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l))))
(asin.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 l (*.f64 (sqrt.f64 2) t)))))
(asin.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 (/.f64 (/.f64 t l) l) t))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (*.f64 (/.f64 t l) t) l))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))))
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))) 3)
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))))))) 1)
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 l (*.f64 (sqrt.f64 2) t))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 l (/.f64 t (sqrt.f64 1/2)))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 (sqrt.f64 1/2) (/.f64 t l))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2))))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (neg.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l)))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 (neg.f64 l) (*.f64 (sqrt.f64 2) t))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (neg.f64 (/.f64 (/.f64 l t) (pow.f64 1/2 -1/2)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (*.f64 (pow.f64 l -1) (/.f64 t l))))))))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 3)
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) 1)
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1)))) 1)
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))
(asin.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)
(asin.f64 (exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) 2))) (log1p.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) 1/2)))
(asin.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 1/4) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) 3))) 1)
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(asin.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)) 3))))
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2)
(pow.f64 (sqrt.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))) 2)
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) 1)
(pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 3/2)) 2)
(pow.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/6) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1/4) 2) 2)
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 3)))
(pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) 3) 3)
(pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))))) 3) 2)
(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1/6) 4) 3)
(asin.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (sqrt.f64 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))) (sqrt.f64 (hypot.f64 1 (*.f64 (sqrt.f64 2) (/.f64 t l))))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) 2) -1/2 1))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))) 1)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))
(pow.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 2)) (sqrt.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))))) 2)
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))) 1 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1)))) 1)))
Outputs
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))
Calls

14 calls:

92.0ms
(/.f64 Om Omc)
45.0ms
t
42.0ms
Om
38.0ms
Omc
37.0ms
l
Results
AccuracySegmentsBranch
98.6%1t
98.6%1l
98.6%1Om
98.6%1Omc
98.6%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
98.6%1(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))
98.6%1(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))
98.6%1(-.f64 1 (pow.f64 (/.f64 Om Omc) 2))
98.6%1(pow.f64 (/.f64 Om Omc) 2)
98.6%1(/.f64 Om Omc)
98.6%1(+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))
98.6%1(*.f64 2 (pow.f64 (/.f64 t l) 2))
98.6%1(pow.f64 (/.f64 t l) 2)
98.6%1(/.f64 t l)
Compiler

Compiled 1705 to 1192 computations (30.1% saved)

regimes317.0ms (1.1%)

Counts
42 → 3
Calls
Call 1
Inputs
(asin.f64 1)
(asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)))
(asin.f64 (+.f64 1 (/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc)))))
(asin.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) l)))
(asin.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l))))
(asin.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)))
(asin.f64 (neg.f64 (*.f64 1 (/.f64 (sqrt.f64 1/2) (/.f64 t l)))))
(asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2))))))
(asin.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l)))))))
(asin.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (/.f64 2 l) (/.f64 (*.f64 t t) l))))))
(asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (*.f64 l l) (/.f64 (*.f64 t t) (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1))
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)))
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))
(asin.f64 (neg.f64 (*.f64 (/.f64 l t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))
(asin.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 l) t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))
(asin.f64 (neg.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))
(asin.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 l) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) t)))
(asin.f64 (neg.f64 (*.f64 l (sqrt.f64 (*.f64 (/.f64 1/2 t) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) t))))))
(asin.f64 (neg.f64 (*.f64 l (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (/.f64 (*.f64 t t) 1/2))))))
(asin.f64 (neg.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) t) (/.f64 1 l))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 l (*.f64 (sqrt.f64 2) t))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l))))
(asin.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 l (*.f64 (sqrt.f64 2) t)))))
(asin.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 (/.f64 (/.f64 t l) l) t))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (*.f64 (/.f64 t l) t) l))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))))
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))) 3)
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))))))) 1)
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 l (*.f64 (sqrt.f64 2) t))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 l (/.f64 t (sqrt.f64 1/2)))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 (sqrt.f64 1/2) (/.f64 t l))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2))))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (neg.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l)))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 (neg.f64 l) (*.f64 (sqrt.f64 2) t))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (neg.f64 (/.f64 (/.f64 l t) (pow.f64 1/2 -1/2)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
Outputs
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (neg.f64 (/.f64 (/.f64 l t) (pow.f64 1/2 -1/2)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))))
(asin.f64 (neg.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))
Calls

14 calls:

61.0ms
l
45.0ms
(/.f64 t l)
22.0ms
(pow.f64 (/.f64 t l) 2)
22.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
20.0ms
Omc
Results
AccuracySegmentsBranch
82.5%1t
85.5%3l
82.5%1Om
82.5%1Omc
92.4%2(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
92.4%2(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))
92.4%2(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))
82.5%1(-.f64 1 (pow.f64 (/.f64 Om Omc) 2))
82.5%1(pow.f64 (/.f64 Om Omc) 2)
82.5%1(/.f64 Om Omc)
92.4%2(+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))
92.4%2(*.f64 2 (pow.f64 (/.f64 t l) 2))
92.4%2(pow.f64 (/.f64 t l) 2)
99.1%3(/.f64 t l)
Compiler

Compiled 795 to 527 computations (33.7% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.4181448201513136e+136
3.496283738200351e+157
0.0ms
-1.6160451146109103e+157
-3.176911308615676e+152
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes2.0s (7.2%)

Counts
40 → 3
Calls
Call 1
Inputs
(asin.f64 1)
(asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)))
(asin.f64 (+.f64 1 (/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc)))))
(asin.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) l)))
(asin.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l))))
(asin.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)))
(asin.f64 (neg.f64 (*.f64 1 (/.f64 (sqrt.f64 1/2) (/.f64 t l)))))
(asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2))))))
(asin.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l)))))))
(asin.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (/.f64 2 l) (/.f64 (*.f64 t t) l))))))
(asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (*.f64 l l) (/.f64 (*.f64 t t) (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1))
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)))
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))
(asin.f64 (neg.f64 (*.f64 (/.f64 l t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))
(asin.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 l) t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))
(asin.f64 (neg.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))
(asin.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 l) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) t)))
(asin.f64 (neg.f64 (*.f64 l (sqrt.f64 (*.f64 (/.f64 1/2 t) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) t))))))
(asin.f64 (neg.f64 (*.f64 l (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (/.f64 (*.f64 t t) 1/2))))))
(asin.f64 (neg.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) t) (/.f64 1 l))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 l (*.f64 (sqrt.f64 2) t))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l))))
(asin.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 l (*.f64 (sqrt.f64 2) t)))))
(asin.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 (/.f64 (/.f64 t l) l) t))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (*.f64 (/.f64 t l) t) l))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))))
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))) 3)
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om))))))) 1)
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 l (*.f64 (sqrt.f64 2) t))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 l (/.f64 t (sqrt.f64 1/2)))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 (sqrt.f64 1/2) (/.f64 t l))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2))))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (neg.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l)))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 (neg.f64 l) (*.f64 (sqrt.f64 2) t))))
Outputs
(asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t))))))))
(asin.f64 (neg.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))
Calls

8 calls:

1.9s
(/.f64 t l)
54.0ms
l
21.0ms
t
18.0ms
Omc
18.0ms
Om
Results
AccuracySegmentsBranch
82.5%1t
85.5%3l
82.5%1Om
82.5%1Omc
82.5%1(-.f64 1 (pow.f64 (/.f64 Om Omc) 2))
82.5%1(pow.f64 (/.f64 Om Omc) 2)
82.5%1(/.f64 Om Omc)
99.1%3(/.f64 t l)
Compiler

Compiled 659 to 421 computations (36.1% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.4181448201513136e+136
3.496283738200351e+157
0.0ms
-1.6160451146109103e+157
-3.176911308615676e+152
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes166.0ms (0.6%)

Counts
31 → 3
Calls
Call 1
Inputs
(asin.f64 1)
(asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)))
(asin.f64 (+.f64 1 (/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc)))))
(asin.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) l)))
(asin.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l))))
(asin.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)))
(asin.f64 (neg.f64 (*.f64 1 (/.f64 (sqrt.f64 1/2) (/.f64 t l)))))
(asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2))))))
(asin.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l)))))))
(asin.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (/.f64 2 l) (/.f64 (*.f64 t t) l))))))
(asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (*.f64 l l) (/.f64 (*.f64 t t) (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1))
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)))
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))
(asin.f64 (neg.f64 (*.f64 (/.f64 l t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))
(asin.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 l) t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))
(asin.f64 (neg.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))
(asin.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 l) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) t)))
(asin.f64 (neg.f64 (*.f64 l (sqrt.f64 (*.f64 (/.f64 1/2 t) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) t))))))
(asin.f64 (neg.f64 (*.f64 l (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (/.f64 (*.f64 t t) 1/2))))))
(asin.f64 (neg.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) t) (/.f64 1 l))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 l (*.f64 (sqrt.f64 2) t))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l))))
(asin.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 l (*.f64 (sqrt.f64 2) t)))))
(asin.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 (/.f64 (/.f64 t l) l) t))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (*.f64 (/.f64 t l) t) l))))))
Outputs
(asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (*.f64 (/.f64 t l) t) l))))))
(asin.f64 (neg.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))
Calls

8 calls:

53.0ms
l
33.0ms
(/.f64 t l)
15.0ms
t
14.0ms
Om
14.0ms
(/.f64 Om Omc)
Results
AccuracySegmentsBranch
81.0%1t
85.0%3l
81.0%1Om
81.0%1Omc
81.0%1(-.f64 1 (pow.f64 (/.f64 Om Omc) 2))
81.0%1(pow.f64 (/.f64 Om Omc) 2)
81.0%1(/.f64 Om Omc)
99.1%3(/.f64 t l)
Compiler

Compiled 508 to 324 computations (36.2% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.5218873230016387e+91
5.164873703212058e+92
0.0ms
-5.307712164034266e+96
-3.339720107018958e+95
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes153.0ms (0.5%)

Counts
30 → 3
Calls
Call 1
Inputs
(asin.f64 1)
(asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)))
(asin.f64 (+.f64 1 (/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc)))))
(asin.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) l)))
(asin.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l))))
(asin.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)))
(asin.f64 (neg.f64 (*.f64 1 (/.f64 (sqrt.f64 1/2) (/.f64 t l)))))
(asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2))))))
(asin.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l)))))))
(asin.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (/.f64 2 l) (/.f64 (*.f64 t t) l))))))
(asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (*.f64 l l) (/.f64 (*.f64 t t) (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1))
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)))
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))
(asin.f64 (neg.f64 (*.f64 (/.f64 l t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))
(asin.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 l) t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))
(asin.f64 (neg.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))
(asin.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 l) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) t)))
(asin.f64 (neg.f64 (*.f64 l (sqrt.f64 (*.f64 (/.f64 1/2 t) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) t))))))
(asin.f64 (neg.f64 (*.f64 l (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (/.f64 (*.f64 t t) 1/2))))))
(asin.f64 (neg.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) t) (/.f64 1 l))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 l (*.f64 (sqrt.f64 2) t))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l))))
(asin.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 l (*.f64 (sqrt.f64 2) t)))))
(asin.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 (/.f64 (/.f64 t l) l) t))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 t (*.f64 (/.f64 l t) l)))))))
Outputs
(asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 (/.f64 (/.f64 t l) l) t))))))
(asin.f64 (neg.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))
Calls

8 calls:

40.0ms
l
31.0ms
(/.f64 t l)
17.0ms
Omc
16.0ms
t
14.0ms
Om
Results
AccuracySegmentsBranch
79.5%1t
85.0%3l
79.5%1Om
79.5%1Omc
79.5%1(-.f64 1 (pow.f64 (/.f64 Om Omc) 2))
79.5%1(pow.f64 (/.f64 Om Omc) 2)
79.5%1(/.f64 Om Omc)
99.1%3(/.f64 t l)
Compiler

Compiled 487 to 311 computations (36.1% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.831083409654008e+61
9.83279409282064e+63
0.0ms
-13012988906541250.0
-7142.479831091077
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes244.0ms (0.9%)

Counts
28 → 3
Calls
Call 1
Inputs
(asin.f64 1)
(asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)))
(asin.f64 (+.f64 1 (/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc)))))
(asin.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) l)))
(asin.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l))))
(asin.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)))
(asin.f64 (neg.f64 (*.f64 1 (/.f64 (sqrt.f64 1/2) (/.f64 t l)))))
(asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2))))))
(asin.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l)))))))
(asin.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (/.f64 2 l) (/.f64 (*.f64 t t) l))))))
(asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (*.f64 l l) (/.f64 (*.f64 t t) (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1))
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)))
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))
(asin.f64 (neg.f64 (*.f64 (/.f64 l t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))
(asin.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 l) t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))
(asin.f64 (neg.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))
(asin.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 l) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) t)))
(asin.f64 (neg.f64 (*.f64 l (sqrt.f64 (*.f64 (/.f64 1/2 t) (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) t))))))
(asin.f64 (neg.f64 (*.f64 l (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (/.f64 (*.f64 t t) 1/2))))))
(asin.f64 (neg.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) t) (/.f64 1 l))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 l (*.f64 (sqrt.f64 2) t))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l))))
(asin.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 l (*.f64 (sqrt.f64 2) t)))))
(asin.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (sqrt.f64 1/2) (/.f64 t l)))))
Outputs
(asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2))))))
(asin.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
(asin.f64 (neg.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))
Calls

8 calls:

103.0ms
l
43.0ms
(/.f64 t l)
36.0ms
t
16.0ms
Omc
15.0ms
Om
Results
AccuracySegmentsBranch
76.3%3t
78.9%4l
71.3%1Om
71.3%1Omc
71.3%1(-.f64 1 (pow.f64 (/.f64 Om Omc) 2))
71.3%1(pow.f64 (/.f64 Om Omc) 2)
71.3%1(/.f64 Om Omc)
98.6%3(/.f64 t l)
Compiler

Compiled 445 to 285 computations (36% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.517901983032058e-11
3338698.2102913638
0.0ms
-7142.479831091077
-1.9494667158161995e-5
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes165.0ms (0.6%)

Counts
19 → 3
Calls
Call 1
Inputs
(asin.f64 1)
(asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)))
(asin.f64 (+.f64 1 (/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc)))))
(asin.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) l)))
(asin.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l))))
(asin.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)))
(asin.f64 (neg.f64 (*.f64 1 (/.f64 (sqrt.f64 1/2) (/.f64 t l)))))
(asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2))))))
(asin.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l)))))))
(asin.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (/.f64 2 l) (/.f64 (*.f64 t t) l))))))
(asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (*.f64 l l) (/.f64 (*.f64 t t) (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1))
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)))
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))
(asin.f64 (neg.f64 (*.f64 (/.f64 l t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))
(asin.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 l) t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))
Outputs
(asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2))))))
(asin.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
(asin.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 l) t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))
Calls

8 calls:

35.0ms
l
26.0ms
t
21.0ms
(/.f64 t l)
19.0ms
Om
9.0ms
Omc
Results
AccuracySegmentsBranch
76.3%3t
77.5%4l
71.3%1Om
71.3%1Omc
71.3%1(-.f64 1 (pow.f64 (/.f64 Om Omc) 2))
71.3%1(pow.f64 (/.f64 Om Omc) 2)
71.3%1(/.f64 Om Omc)
98.6%3(/.f64 t l)
Compiler

Compiled 283 to 191 computations (32.5% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.517901983032058e-11
3338698.2102913638
0.0ms
-7142.479831091077
-1.9494667158161995e-5
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes160.0ms (0.6%)

Counts
18 → 3
Calls
Call 1
Inputs
(asin.f64 1)
(asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)))
(asin.f64 (+.f64 1 (/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc)))))
(asin.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) l)))
(asin.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l))))
(asin.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)))
(asin.f64 (neg.f64 (*.f64 1 (/.f64 (sqrt.f64 1/2) (/.f64 t l)))))
(asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2))))))
(asin.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l)))))))
(asin.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (/.f64 2 l) (/.f64 (*.f64 t t) l))))))
(asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (*.f64 l l) (/.f64 (*.f64 t t) (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1))
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)))
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t))))
(asin.f64 (neg.f64 (*.f64 (/.f64 l t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))
Outputs
(asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2))))))
(asin.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)))
Calls

8 calls:

44.0ms
Om
32.0ms
l
28.0ms
t
21.0ms
(/.f64 t l)
9.0ms
(-.f64 1 (pow.f64 (/.f64 Om Omc) 2))
Results
AccuracySegmentsBranch
76.3%3t
77.5%4l
71.3%1Om
71.3%1Omc
71.3%1(-.f64 1 (pow.f64 (/.f64 Om Omc) 2))
71.3%1(pow.f64 (/.f64 Om Omc) 2)
71.3%1(/.f64 Om Omc)
98.6%3(/.f64 t l)
Compiler

Compiled 266 to 179 computations (32.7% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.517901983032058e-11
3338698.2102913638
0.0ms
-7142.479831091077
-1.9494667158161995e-5
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes171.0ms (0.6%)

Counts
15 → 3
Calls
Call 1
Inputs
(asin.f64 1)
(asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)))
(asin.f64 (+.f64 1 (/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc)))))
(asin.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) l)))
(asin.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l))))
(asin.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)))
(asin.f64 (neg.f64 (*.f64 1 (/.f64 (sqrt.f64 1/2) (/.f64 t l)))))
(asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2))))))
(asin.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l)))))))
(asin.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (/.f64 2 l) (/.f64 (*.f64 t t) l))))))
(asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (*.f64 l l) (/.f64 (*.f64 t t) (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))))
(asin.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))
(asin.f64 (fma.f64 -1/2 (pow.f64 (/.f64 Om Omc) 2) 1))
Outputs
(asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2))))))
(asin.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
(asin.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (/.f64 2 l) (/.f64 (*.f64 t t) l))))))
Calls

8 calls:

70.0ms
(/.f64 t l)
34.0ms
l
22.0ms
t
13.0ms
(pow.f64 (/.f64 Om Omc) 2)
9.0ms
Om
Results
AccuracySegmentsBranch
75.8%3t
77.1%4l
71.3%1Om
71.3%1Omc
71.3%1(-.f64 1 (pow.f64 (/.f64 Om Omc) 2))
71.3%1(pow.f64 (/.f64 Om Omc) 2)
71.3%1(/.f64 Om Omc)
88.8%3(/.f64 t l)
Compiler

Compiled 219 to 147 computations (32.9% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.728777762754502e-30
9.369564805376385e-28
0.0ms
-7142.479831091077
-1.9494667158161995e-5
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes141.0ms (0.5%)

Counts
11 → 3
Calls
Call 1
Inputs
(asin.f64 1)
(asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)))
(asin.f64 (+.f64 1 (/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc)))))
(asin.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) l)))
(asin.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l))))
(asin.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)))
(asin.f64 (neg.f64 (*.f64 1 (/.f64 (sqrt.f64 1/2) (/.f64 t l)))))
(asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2))))))
(asin.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l)))))))
Outputs
(asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2))))))
(asin.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
(asin.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l)))))))
Calls

6 calls:

60.0ms
(/.f64 t l)
33.0ms
t
24.0ms
l
9.0ms
Omc
6.0ms
Om
Results
AccuracySegmentsBranch
71.7%5t
75.3%4l
63.7%1Om
63.7%1Omc
63.7%1(/.f64 Om Omc)
85.6%3(/.f64 t l)
Compiler

Compiled 145 to 101 computations (30.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.728777762754502e-30
9.369564805376385e-28
0.0ms
-7142.479831091077
-1.9494667158161995e-5
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes228.0ms (0.8%)

Counts
10 → 3
Calls
Call 1
Inputs
(asin.f64 1)
(asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)))
(asin.f64 (+.f64 1 (/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc)))))
(asin.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) l)))
(asin.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l))))
(asin.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)))
(asin.f64 (neg.f64 (*.f64 1 (/.f64 (sqrt.f64 1/2) (/.f64 t l)))))
(asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2))))))
(asin.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
Outputs
(asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2))))))
(asin.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
(asin.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l))))
Calls

6 calls:

72.0ms
Omc
47.0ms
Om
41.0ms
(/.f64 Om Omc)
31.0ms
t
19.0ms
l
Results
AccuracySegmentsBranch
66.4%5t
68.5%3l
52.9%3Om
56.1%7Omc
52.9%3(/.f64 Om Omc)
81.5%3(/.f64 t l)
Compiler

Compiled 130 to 90 computations (30.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.977650473839158e+201
1.1926477985760185e+205
0.0ms
-7142.479831091077
-1.9494667158161995e-5
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes163.0ms (0.6%)

Counts
8 → 3
Calls
Call 1
Inputs
(asin.f64 1)
(asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)))
(asin.f64 (+.f64 1 (/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc)))))
(asin.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) l)))
(asin.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l))))
(asin.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)))
(asin.f64 (neg.f64 (*.f64 1 (/.f64 (sqrt.f64 1/2) (/.f64 t l)))))
(asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2))))))
Outputs
(asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2))))))
(asin.f64 (+.f64 1 (/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc)))))
(asin.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l))))
Calls

5 calls:

87.0ms
Omc
29.0ms
t
17.0ms
l
15.0ms
Om
13.0ms
(/.f64 t l)
Results
AccuracySegmentsBranch
66.1%5t
68.2%3l
52.5%3Om
55.7%7Omc
81.1%3(/.f64 t l)
Compiler

Compiled 101 to 76 computations (24.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.977650473839158e+201
1.1926477985760185e+205
0.0ms
-7142.479831091077
-1.9494667158161995e-5
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes149.0ms (0.5%)

Counts
7 → 3
Calls
Call 1
Inputs
(asin.f64 1)
(asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)))
(asin.f64 (+.f64 1 (/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc)))))
(asin.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) l)))
(asin.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l))))
(asin.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)))
(asin.f64 (neg.f64 (*.f64 1 (/.f64 (sqrt.f64 1/2) (/.f64 t l)))))
Outputs
(asin.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)))
(asin.f64 (+.f64 1 (/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc)))))
(asin.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l))))
Calls

5 calls:

77.0ms
Omc
28.0ms
t
16.0ms
l
13.0ms
Om
11.0ms
(/.f64 t l)
Results
AccuracySegmentsBranch
66.0%5t
68.2%3l
52.5%3Om
55.7%7Omc
81.1%3(/.f64 t l)
Compiler

Compiled 91 to 68 computations (25.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.977650473839158e+201
1.1926477985760185e+205
0.0ms
-7142.479831091077
-1.9494667158161995e-5
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes92.0ms (0.3%)

Counts
5 → 3
Calls
Call 1
Inputs
(asin.f64 1)
(asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)))
(asin.f64 (+.f64 1 (/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc)))))
(asin.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) l)))
(asin.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l))))
Outputs
(asin.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) l)))
(asin.f64 (+.f64 1 (/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc)))))
(asin.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l))))
Calls

5 calls:

30.0ms
Omc
25.0ms
t
12.0ms
l
12.0ms
Om
12.0ms
(/.f64 t l)
Results
AccuracySegmentsBranch
66.0%5t
68.2%3l
52.5%3Om
55.7%7Omc
81.1%3(/.f64 t l)
Compiler

Compiled 73 to 55 computations (24.7% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.977650473839158e+201
1.1926477985760185e+205
0.0ms
-7142.479831091077
-1.9494667158161995e-5
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes80.0ms (0.3%)

Counts
4 → 3
Calls
Call 1
Inputs
(asin.f64 1)
(asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)))
(asin.f64 (+.f64 1 (/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc)))))
(asin.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) l)))
Outputs
(asin.f64 1)
(asin.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) l)))
(asin.f64 (+.f64 1 (/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc)))))
Calls

4 calls:

24.0ms
t
24.0ms
Omc
19.0ms
Om
11.0ms
l
Results
AccuracySegmentsBranch
66.0%5t
68.2%3l
52.5%3Om
55.7%7Omc
Compiler

Compiled 58 to 44 computations (24.1% saved)

bsearch65.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
35.0ms
6.057892824855488e-92
4.644848306120371e-82
30.0ms
-1.1520582235508418e-85
-3.902378982256386e-94
Results
55.0ms304×body256valid
Compiler

Compiled 510 to 427 computations (16.3% saved)

regimes16.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
(asin.f64 1)
(asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)))
(asin.f64 (+.f64 1 (/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc)))))
Outputs
(asin.f64 (+.f64 1 (/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc)))))
Calls

4 calls:

5.0ms
Om
3.0ms
Omc
3.0ms
l
3.0ms
t
Results
AccuracySegmentsBranch
50.0%1t
50.0%1l
50.0%1Om
50.0%1Omc
Compiler

Compiled 50 to 38 computations (24% saved)

regimes16.0ms (0.1%)

Accuracy

Total -4.2b remaining (-12.9%)

Threshold costs -4.2b (-12.9%)

Counts
2 → 1
Calls
Call 1
Inputs
(asin.f64 1)
(asin.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) -1/2)))
Outputs
(asin.f64 1)
Calls

4 calls:

6.0ms
Omc
3.0ms
t
3.0ms
Om
3.0ms
l
Results
AccuracySegmentsBranch
49.5%1t
49.5%1l
49.5%1Om
49.5%1Omc
Compiler

Compiled 38 to 30 computations (21.1% saved)

simplify81.0ms (0.3%)

Algorithm
egg-herbie
Rules
248×distribute-lft-neg-in
220×unsub-neg
168×neg-mul-1
124×cancel-sign-sub
122×distribute-rgt-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01602049
12332001
23132001
34162001
45422001
57832001
69322001
79902001
89972001
99982001
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))
(if (<=.f64 (/.f64 t l) -9999999999999999833591802231917217145603722750174705363670076144604684175010125545314778769459387417512373883443631050675345073481645737334655103703260856320) (asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (neg.f64 (/.f64 (/.f64 l t) (pow.f64 1/2 -1/2))))) (if (<=.f64 (/.f64 t l) 50000000000000001642078124460246303949350628317980584775615671312937350344939399777200065781386370634197475239216121778932424531710574592) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (asin.f64 (neg.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))))
(if (<=.f64 (/.f64 t l) -9999999999999999833591802231917217145603722750174705363670076144604684175010125545314778769459387417512373883443631050675345073481645737334655103703260856320) (asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2)))))) (if (<=.f64 (/.f64 t l) 50000000000000001642078124460246303949350628317980584775615671312937350344939399777200065781386370634197475239216121778932424531710574592) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (asin.f64 (neg.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))))
(if (<=.f64 (/.f64 t l) -5000000000000000367879369238556249198788031076088728399622928950675879571901095101025339828076544) (asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2)))))) (if (<=.f64 (/.f64 t l) 50000000000000002168864848730959303664514666247596965589588689466805840644484055547066187776) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (*.f64 (/.f64 t l) t) l)))))) (asin.f64 (neg.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))))
(if (<=.f64 (/.f64 t l) -10000000000000000) (asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2)))))) (if (<=.f64 (/.f64 t l) 100000000000000003502199685943161173046080317798311825604870144) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 (/.f64 (/.f64 t l) l) t)))))) (asin.f64 (neg.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))))
(if (<=.f64 (/.f64 t l) -5000) (asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2)))))) (if (<=.f64 (/.f64 t l) 7737125245533627/154742504910672534362390528) (asin.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (asin.f64 (neg.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))))
(if (<=.f64 (/.f64 t l) -5000) (asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2)))))) (if (<=.f64 (/.f64 t l) 7737125245533627/154742504910672534362390528) (asin.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (asin.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 l) t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))))
(if (<=.f64 (/.f64 t l) -5000) (asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2)))))) (if (<=.f64 (/.f64 t l) 7737125245533627/154742504910672534362390528) (asin.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (asin.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)))))
(if (<=.f64 (/.f64 t l) -5000) (asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2)))))) (if (<=.f64 (/.f64 t l) 7136238463529799/713623846352979940529142984724747568191373312) (asin.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (asin.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (/.f64 2 l) (/.f64 (*.f64 t t) l))))))))
(if (<=.f64 (/.f64 t l) -5000) (asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2)))))) (if (<=.f64 (/.f64 t l) 7136238463529799/713623846352979940529142984724747568191373312) (asin.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (asin.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l)))))))))
(if (<=.f64 (/.f64 t l) -5000) (asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2)))))) (if (<=.f64 (/.f64 t l) 9999999999999999017474591319641730272072128367390393282944984404433823148266910656903077218579754480674748342103902584639871831041306548820316951909258721342916786285447187693014154661313392524876840960) (asin.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (asin.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l))))))
(if (<=.f64 (/.f64 t l) -5000) (asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2)))))) (if (<=.f64 (/.f64 t l) 9999999999999999017474591319641730272072128367390393282944984404433823148266910656903077218579754480674748342103902584639871831041306548820316951909258721342916786285447187693014154661313392524876840960) (asin.f64 (+.f64 1 (/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc))))) (asin.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l))))))
(if (<=.f64 (/.f64 t l) -5000) (asin.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) (if (<=.f64 (/.f64 t l) 9999999999999999017474591319641730272072128367390393282944984404433823148266910656903077218579754480674748342103902584639871831041306548820316951909258721342916786285447187693014154661313392524876840960) (asin.f64 (+.f64 1 (/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc))))) (asin.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l))))))
(if (<=.f64 (/.f64 t l) -5000) (asin.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) l))) (if (<=.f64 (/.f64 t l) 9999999999999999017474591319641730272072128367390393282944984404433823148266910656903077218579754480674748342103902584639871831041306548820316951909258721342916786285447187693014154661313392524876840960) (asin.f64 (+.f64 1 (/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc))))) (asin.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l))))))
(if (<=.f64 l -6808824016220525/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416) (asin.f64 1) (if (<=.f64 l 8609018852745935/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) (asin.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) l))) (asin.f64 (+.f64 1 (/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc)))))))
(asin.f64 (+.f64 1 (/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc)))))
(asin.f64 1)
Outputs
(asin.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 Om Omc) (/.f64 Omc Om)))) (hypot.f64 1 (*.f64 (/.f64 t l) (sqrt.f64 2)))))
(if (<=.f64 (/.f64 t l) -9999999999999999833591802231917217145603722750174705363670076144604684175010125545314778769459387417512373883443631050675345073481645737334655103703260856320) (asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (neg.f64 (/.f64 (/.f64 l t) (pow.f64 1/2 -1/2))))) (if (<=.f64 (/.f64 t l) 50000000000000001642078124460246303949350628317980584775615671312937350344939399777200065781386370634197475239216121778932424531710574592) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (asin.f64 (neg.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))))
(if (<=.f64 (/.f64 t l) -9999999999999999833591802231917217145603722750174705363670076144604684175010125545314778769459387417512373883443631050675345073481645737334655103703260856320) (asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 (/.f64 (neg.f64 l) t) (pow.f64 1/2 -1/2)))) (if (<=.f64 (/.f64 t l) 50000000000000001642078124460246303949350628317980584775615671312937350344939399777200065781386370634197475239216121778932424531710574592) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (asin.f64 (/.f64 (neg.f64 (neg.f64 l)) (/.f64 t (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)))))))
(if (<=.f64 (/.f64 t l) -9999999999999999833591802231917217145603722750174705363670076144604684175010125545314778769459387417512373883443631050675345073481645737334655103703260856320) (asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (/.f64 (/.f64 (neg.f64 l) t) (pow.f64 1/2 -1/2)))) (if (<=.f64 (/.f64 t l) 50000000000000001642078124460246303949350628317980584775615671312937350344939399777200065781386370634197475239216121778932424531710574592) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (asin.f64 (/.f64 l (/.f64 t (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)))))))
(if (<=.f64 (/.f64 t l) -9999999999999999833591802231917217145603722750174705363670076144604684175010125545314778769459387417512373883443631050675345073481645737334655103703260856320) (asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2)))))) (if (<=.f64 (/.f64 t l) 50000000000000001642078124460246303949350628317980584775615671312937350344939399777200065781386370634197475239216121778932424531710574592) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (asin.f64 (neg.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))))
(if (<=.f64 (/.f64 t l) -9999999999999999833591802231917217145603722750174705363670076144604684175010125545314778769459387417512373883443631050675345073481645737334655103703260856320) (asin.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 1/2)))) (if (<=.f64 (/.f64 t l) 50000000000000001642078124460246303949350628317980584775615671312937350344939399777200065781386370634197475239216121778932424531710574592) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (asin.f64 (/.f64 (neg.f64 (neg.f64 l)) (/.f64 t (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)))))))
(if (<=.f64 (/.f64 t l) -9999999999999999833591802231917217145603722750174705363670076144604684175010125545314778769459387417512373883443631050675345073481645737334655103703260856320) (asin.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 1/2)))) (if (<=.f64 (/.f64 t l) 50000000000000001642078124460246303949350628317980584775615671312937350344939399777200065781386370634197475239216121778932424531710574592) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 1 (*.f64 (/.f64 l t) (/.f64 l t)))))))) (asin.f64 (/.f64 l (/.f64 t (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)))))))
(if (<=.f64 (/.f64 t l) -5000000000000000367879369238556249198788031076088728399622928950675879571901095101025339828076544) (asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2)))))) (if (<=.f64 (/.f64 t l) 50000000000000002168864848730959303664514666247596965589588689466805840644484055547066187776) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (*.f64 (/.f64 t l) t) l)))))) (asin.f64 (neg.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))))
(if (<=.f64 (/.f64 t l) -5000000000000000367879369238556249198788031076088728399622928950675879571901095101025339828076544) (asin.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 1/2)))) (if (<=.f64 (/.f64 t l) 50000000000000002168864848730959303664514666247596965589588689466805840644484055547066187776) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (*.f64 t (/.f64 t l)) l)))))) (asin.f64 (/.f64 (neg.f64 (neg.f64 l)) (/.f64 t (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)))))))
(if (<=.f64 (/.f64 t l) -5000000000000000367879369238556249198788031076088728399622928950675879571901095101025339828076544) (asin.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 1/2)))) (if (<=.f64 (/.f64 t l) 50000000000000002168864848730959303664514666247596965589588689466805840644484055547066187776) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (*.f64 t (/.f64 t l)) l)))))) (asin.f64 (/.f64 l (/.f64 t (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)))))))
(if (<=.f64 (/.f64 t l) -10000000000000000) (asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2)))))) (if (<=.f64 (/.f64 t l) 100000000000000003502199685943161173046080317798311825604870144) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 (/.f64 (/.f64 t l) l) t)))))) (asin.f64 (neg.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))))
(if (<=.f64 (/.f64 t l) -10000000000000000) (asin.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 1/2)))) (if (<=.f64 (/.f64 t l) 100000000000000003502199685943161173046080317798311825604870144) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (/.f64 (/.f64 t l) l))))))) (asin.f64 (/.f64 (neg.f64 (neg.f64 l)) (/.f64 t (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)))))))
(if (<=.f64 (/.f64 t l) -10000000000000000) (asin.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 1/2)))) (if (<=.f64 (/.f64 t l) 100000000000000003502199685943161173046080317798311825604870144) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (*.f64 t (/.f64 (/.f64 t l) l))))))) (asin.f64 (/.f64 l (/.f64 t (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)))))))
(if (<=.f64 (/.f64 t l) -5000) (asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2)))))) (if (<=.f64 (/.f64 t l) 7737125245533627/154742504910672534362390528) (asin.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (asin.f64 (neg.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))))))))))
(if (<=.f64 (/.f64 t l) -5000) (asin.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 1/2)))) (if (<=.f64 (/.f64 t l) 7737125245533627/154742504910672534362390528) (asin.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (asin.f64 (/.f64 (neg.f64 (neg.f64 l)) (/.f64 t (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)))))))
(if (<=.f64 (/.f64 t l) -5000) (asin.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 1/2)))) (if (<=.f64 (/.f64 t l) 7737125245533627/154742504910672534362390528) (asin.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (asin.f64 (/.f64 l (/.f64 t (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)))))))
(if (<=.f64 (/.f64 t l) -5000) (asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2)))))) (if (<=.f64 (/.f64 t l) 7737125245533627/154742504910672534362390528) (asin.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (asin.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 l) t) (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))))))
(if (<=.f64 (/.f64 t l) -5000) (asin.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 1/2)))) (if (<=.f64 (/.f64 t l) 7737125245533627/154742504910672534362390528) (asin.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (asin.f64 (*.f64 (neg.f64 (/.f64 (neg.f64 l) t)) (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2))))))
(if (<=.f64 (/.f64 t l) -5000) (asin.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 1/2)))) (if (<=.f64 (/.f64 t l) 7737125245533627/154742504910672534362390528) (asin.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (asin.f64 (*.f64 (/.f64 l t) (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2))))))
(if (<=.f64 (/.f64 t l) -5000) (asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2)))))) (if (<=.f64 (/.f64 t l) 7737125245533627/154742504910672534362390528) (asin.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (asin.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))) t)))))
(if (<=.f64 (/.f64 t l) -5000) (asin.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 1/2)))) (if (<=.f64 (/.f64 t l) 7737125245533627/154742504910672534362390528) (asin.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (asin.f64 (*.f64 l (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1/2)) t)))))
(if (<=.f64 (/.f64 t l) -5000) (asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2)))))) (if (<=.f64 (/.f64 t l) 7136238463529799/713623846352979940529142984724747568191373312) (asin.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (asin.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (/.f64 2 l) (/.f64 (*.f64 t t) l))))))))
(if (<=.f64 (/.f64 t l) -5000) (asin.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 1/2)))) (if (<=.f64 (/.f64 t l) 7136238463529799/713623846352979940529142984724747568191373312) (asin.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (asin.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (/.f64 2 l) (/.f64 (*.f64 t t) l))))))))
(if (<=.f64 (/.f64 t l) -5000) (asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2)))))) (if (<=.f64 (/.f64 t l) 7136238463529799/713623846352979940529142984724747568191373312) (asin.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (asin.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l)))))))))
(if (<=.f64 (/.f64 t l) -5000) (asin.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 1/2)))) (if (<=.f64 (/.f64 t l) 7136238463529799/713623846352979940529142984724747568191373312) (asin.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (asin.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (*.f64 t t) (*.f64 l l)))))))))
(if (<=.f64 (/.f64 t l) -5000) (asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2)))))) (if (<=.f64 (/.f64 t l) 9999999999999999017474591319641730272072128367390393282944984404433823148266910656903077218579754480674748342103902584639871831041306548820316951909258721342916786285447187693014154661313392524876840960) (asin.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (asin.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l))))))
(if (<=.f64 (/.f64 t l) -5000) (asin.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 1/2)))) (if (<=.f64 (/.f64 t l) 9999999999999999017474591319641730272072128367390393282944984404433823148266910656903077218579754480674748342103902584639871831041306548820316951909258721342916786285447187693014154661313392524876840960) (asin.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (asin.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 t l)))))
(if (<=.f64 (/.f64 t l) -5000) (asin.f64 (*.f64 1 (neg.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2)))))) (if (<=.f64 (/.f64 t l) 9999999999999999017474591319641730272072128367390393282944984404433823148266910656903077218579754480674748342103902584639871831041306548820316951909258721342916786285447187693014154661313392524876840960) (asin.f64 (+.f64 1 (/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc))))) (asin.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l))))))
(if (<=.f64 (/.f64 t l) -5000) (asin.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 1/2)))) (if (<=.f64 (/.f64 t l) 9999999999999999017474591319641730272072128367390393282944984404433823148266910656903077218579754480674748342103902584639871831041306548820316951909258721342916786285447187693014154661313392524876840960) (asin.f64 (+.f64 1 (/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc))))) (asin.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 t l)))))
(if (<=.f64 (/.f64 t l) -5000) (asin.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) (if (<=.f64 (/.f64 t l) 9999999999999999017474591319641730272072128367390393282944984404433823148266910656903077218579754480674748342103902584639871831041306548820316951909258721342916786285447187693014154661313392524876840960) (asin.f64 (+.f64 1 (/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc))))) (asin.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l))))))
(if (<=.f64 (/.f64 t l) -5000) (asin.f64 (/.f64 (neg.f64 (*.f64 l (sqrt.f64 1/2))) t)) (if (<=.f64 (/.f64 t l) 9999999999999999017474591319641730272072128367390393282944984404433823148266910656903077218579754480674748342103902584639871831041306548820316951909258721342916786285447187693014154661313392524876840960) (asin.f64 (+.f64 1 (/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc))))) (asin.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 t l)))))
(if (<=.f64 (/.f64 t l) -5000) (asin.f64 (/.f64 (*.f64 l (neg.f64 (sqrt.f64 1/2))) t)) (if (<=.f64 (/.f64 t l) 9999999999999999017474591319641730272072128367390393282944984404433823148266910656903077218579754480674748342103902584639871831041306548820316951909258721342916786285447187693014154661313392524876840960) (asin.f64 (+.f64 1 (/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc))))) (asin.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 t l)))))
(if (<=.f64 (/.f64 t l) -5000) (asin.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) l))) (if (<=.f64 (/.f64 t l) 9999999999999999017474591319641730272072128367390393282944984404433823148266910656903077218579754480674748342103902584639871831041306548820316951909258721342916786285447187693014154661313392524876840960) (asin.f64 (+.f64 1 (/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc))))) (asin.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l))))))
(if (<=.f64 (/.f64 t l) -5000) (asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) (if (<=.f64 (/.f64 t l) 9999999999999999017474591319641730272072128367390393282944984404433823148266910656903077218579754480674748342103902584639871831041306548820316951909258721342916786285447187693014154661313392524876840960) (asin.f64 (+.f64 1 (/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc))))) (asin.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 t l)))))
(if (<=.f64 (/.f64 t l) -5000) (asin.f64 (*.f64 (neg.f64 l) (/.f64 (sqrt.f64 1/2) t))) (if (<=.f64 (/.f64 t l) 9999999999999999017474591319641730272072128367390393282944984404433823148266910656903077218579754480674748342103902584639871831041306548820316951909258721342916786285447187693014154661313392524876840960) (asin.f64 (+.f64 1 (/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc))))) (asin.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 t l)))))
(if (<=.f64 l -6808824016220525/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416) (asin.f64 1) (if (<=.f64 l 8609018852745935/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) (asin.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) l))) (asin.f64 (+.f64 1 (/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc)))))))
(if (<=.f64 l -6808824016220525/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416) (asin.f64 1) (if (<=.f64 l 8609018852745935/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) (asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) (asin.f64 (+.f64 1 (/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc)))))))
(if (<=.f64 l -6808824016220525/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416) (asin.f64 1) (if (<=.f64 l 8609018852745935/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) (asin.f64 (*.f64 (neg.f64 l) (/.f64 (sqrt.f64 1/2) t))) (asin.f64 (+.f64 1 (/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc)))))))
(asin.f64 (+.f64 1 (/.f64 (*.f64 Om -1/2) (/.f64 Omc (/.f64 Om Omc)))))
(asin.f64 1)
Compiler

Compiled 759 to 522 computations (31.2% saved)

soundness1.5s (5.4%)

Rules
1974×log-prod
1912×log-prod
1684×log-prod
1266×fma-def
1206×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019172
1417160
25561160
080145502
1218235344
01751
136151
2456651
03374531
17724281
225614155
019172
1417160
25561160
081545333
1221935433
01868
138458
2520858
03126610
19056358
236126068
019125
1409121
25223121
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1393 to 940 computations (32.5% saved)

end339.0ms (1.2%)

Compiler

Compiled 695 to 405 computations (41.7% saved)

Profiling

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